Numerical Functional Analysis and Optimization

Papers
(The median citation count of Numerical Functional Analysis and Optimization is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-02-01 to 2025-02-01.)
ArticleCitations
Self-Adaptive Extragradient Methods for Solving Variational Inequalities and Fixed Point Problems in 2-Uniformly Convex and Uniformly Smooth Banach Spaces22
On the Smoothness of the Solution of Fuzzy Volterra Integral Equations of the Second Kind with Weakly Singular Kernels20
Dual Variable Inertial Accelerated Algorithm for Split System of Null Point Equality Problems16
Some Bilinear Hardy–Steklov Type Integral Inequalities15
Preface15
Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem14
General Summability Methods in the Approximation by Bernstein–Chlodovsky Operators14
An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ14
Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure14
Minimax Theorem for Two Set-Valued Mappings with Nonconvex Domains13
A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds13
Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings*11
On Well-Posedness for Perturbed Quasi-Equilibrium and Quasi-Optimization Problems11
λ-Bernstein Operators Based on Pólya Distribution10
Iteratively Refined Image Reconstruction with Learned Attentive Regularizers10
A Convergence Analysis of the Iterated Lavrentiev Regularization Method under a Lipschitz Condition8
On the Type of Ill-Posedness of Generalized Hilbert Matrices and Related Operators8
On Absolute Matrix Summability of Factored Infinite Series and Fourier Series8
On a Gauss-Kummer Convergence Model8
Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions8
A New Dai-Liao Conjugate Gradient Method based on Approximately Optimal Stepsize for Unconstrained Optimization8
Optimal Convergence of the Discrepancy Principle for Polynomially and Exponentially Ill-Posed Operators under White Noise7
On k -WUR and its generalizations7
Penalty Method for a Class of Differential Hemivariational Inequalities with Application7
On a New Norm on the Space of Reproducing Kernel Hilbert Space Operators and Berezin Radius Inequalities7
Fixed Point Theorems for Operators with Certain Condition in p-Uniformly Convex Metric Spaces7
Q-duals and Q-approximate duals of g-frames in Hilbert spaces6
Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations6
Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices6
Second-Order Optimality Conditions for Strict Pareto Minima and Weak Efficiency for Nonsmooth Constrained Vector Equilibrium Problems6
Approximation Theorems for Localized Baskakov Operators6
Semigroups of Composition Operators on Vector-Valued Hardy Spaces6
fgh -Convex Functions and Entropy Bounds5
Box Constraints and Weighted Sparsity Regularization for Identifying Sources in Elliptic PDEs5
An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes5
Strong Convergence of Trajectories via Inertial Dynamics Combining Hessian-Driven Damping and Tikhonov Regularization for General Convex Minimizations5
The Strong Stabilization of the State Fractional Derivative for Semi-Linear Systems5
Two New Inertial Algorithms for Solving Variational Inequalities in Reflexive Banach Spaces5
Time Optimal Control Problem of the 3D Navier-Stokes-α Equations5
Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications5
Mean Inequalities for the Numerical Radius5
A Relaxed Tseng’s Method-based Algorithm for Solving Split Variational Inequalities with Multiple Output Sets5
Extended Bernstein-Kantorovich-Stancu Operators with Multiple Parameters and Approximation Properties5
Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces5
Multiple Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential4
Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis4
Corrigendum4
Identification of the Memory Order in Multi-Term Semilinear Subdiffusion4
Error Estimates for Approximate Solutions to Seminlinear Elliptic Optimal Control Problems with Nonlinear and Mixed Constraints4
Approximation of Nonhomogeneous Random Field from Local Averages4
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems4
Generalized Riccati Operator Equations, Invariant Subspaces and Toeplitz Corona Problem4
Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach4
Convergence of an Inertial Shadow Douglas-Rachford Splitting Algorithm for Monotone Inclusions3
A Dynamical Splitting Method for Minimizing the Sum of Three Convex Functions3
Kantorovich Variant of Jain-Pethe Operators3
Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions3
Some Results on Oblique Dual and Approximate Oblique Dual Hilbert-Schmidt Frames3
Multivariate Dynamical Sampling in and Shift-Invariant Spaces Associated with Linear Canonical Transform3
Approximation of Periodic Functions of Bounded Variation by Some Positive Linear Operators3
Uncertainty Principle for Gabor Transform on the Quaternionic Heisenberg Group3
A Priori Error Analysis for an Optimal Control Problem Governed by a Variational Inequality of the Second Kind3
A Mehrotra Type Predictor-Corrector Interior-Point Method for P∗(κ)-HLCP3
Two Set Scalarizations Based on the Oriented Distance with Variable Ordering Structures: Properties and Application to Set Optimization3
Editor’s Note3
A Halpern Type Iterative Scheme for a Finite Number of Mappings in Complete Geodesic Spaces with Curvature Bounded above3
Analysis of a Fitted Finite Difference Scheme for a Semilinear System of Singularly Perturbed Reaction-Diffusion Equations Having Discontinuous Source Term3
Composition of Euler Scaling Functions with the Optimization Method for Fractional Hyperbolic and Reaction-Diffusion Equations with Nonlocal Boundary Conditions3
Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems3
Estimating Solution Smoothness and Data Noise with Tikhonov Regularization3
Max-Product Sampling Kantorovich Operators: Quantitative Estimates in Functional Spaces2
Tight wavelet frames on zero-dimensional groups. Construction and approximation2
Fixed Point Theorems in Generalized Banach Algebras and an Application to Infinite Systems in ????([0, 1], c0) × ????([0, 1], c0)2
Existence Results for Integro-Differential Equations with Reflection2
Frames and Dual Frames for Krein Spaces2
Incremental Quasi-Subgradient Method for Minimizing Sum of Geodesic Quasi-Convex Functions on Riemannian Manifolds with Applications2
The Complete Solution of the Construction Problem of Infinite Frames with Given Redundancy2
Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product2
Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators2
A Source Identification Problem in a Bi-parabolic Equation: Convergence Rates and Some Optimal Results2
A New Existence Result of Equilibria for Vector Equilibrium Problems2
An Existence Theorem for Some Nonlinear Volterra-Fredholm Integral Equations in the Space of Continuous Tempered Functions2
Multidimensional Strongly Deferred Invariant Convergence2
On the Modification of Mellin Convolution Operator and Its Associated Information Potential2
The Study of the Solvability of Infinite Systems of Integral Equations via Measures of Noncompactness2
Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces2
Sampling with Derivatives in Periodic Shift-Invariant Spaces2
On Certain Reversed Mean Lipschitzian Mappings in Banach Spaces2
On Fredholm-Type Integral Equations in Topological Hölder Spaces2
On Property- and Relative Chebyshev Centres in Banach Spaces2
Approximation by α -Bernstein-Kantorovich Type Operators for Functions of One and Two Variables2
Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions2
On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains2
Construction of Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Convex Hyperbolic Spaces2
Solving Equilibrium Problems with Bifunctions Having the Property of Negative Transitivity2
Existence of Solutions of Set Quasi-Optimization Problems Involving Minkowski Difference2
On Optimal Estimate of the Block Orthogonal Greedy Algorithm for g-Frames2
p-Convex Functions and Some of Their Properties2
A Fully Discrete Approximation of a New Two-Temperature Thermoelastic Model2
Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations2
A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems2
Statistical Convergence of Sequences of Functions in Neutrosophic Normed Spaces2
Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations2
Parseval Theorem and Plancherel Theorem on the Product Abstract Wiener Space2
Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties2
Existence of Solutions for a Class of Kirchhoff-Type Equation via Young Measures1
On Componental Operators in Hilbert Space1
On q−Cesàro Operators: Boundedness, Compactness and Spectra1
Stability Radius of S-Quasimonotone Maps1
Adaptive Sampling for Signals Associated with the Special Affine Fourier Transform1
Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group1
Relatively Nonexpansive Mappings in k-Uniformly Convex Banach Spaces1
Upper-Bound Error Estimates for Double Phase Obstacle Problems with Clarke’s Subdifferential1
Product-Type Operators from Hardy Spaces to Bloch-Type Spaces and Zygmund-Type Spaces1
The Study of the Numerical Treatment of the Real Ginzburg–Landau Equation Using the Galerkin Method1
Strong Convergence Theorem Obtained by a Generalized Projections Method for Solving an Equilibrium Problem and Fixed Point Problems1
Duality Mapping for Schatten Matrix Norms1
Existence Results for a 2nth-Order Differential Equation with Sturm-Liouville Operator1
Analysis and Numerical Approach of a Coupled Thermo-Electro-Mechanical System for Nonlinear Hencky-Type Materials with Nonlocal Coulomb’s Friction1
Necessary and Sufficient Optimality Conditions for Non-regular Problems1
Connections between the Approximation Orders of Positive Linear Operators and Their Max-Product Counterparts1
Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations1
Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints1
The Closest Point Theorem in CAT p (0) Metric Spaces1
Accuracy Estimates for Bilinear Optimal Control Problems Governed by Ordinary Differential Equations1
Inertial Extragradient Method for Solving Variational Inequality and Fixed Point Problems of a Bregman Demigeneralized Mapping in a Reflexive Banach Spaces1
Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces1
Tseng’s Algorithm with Extrapolation from the past Endowed with Variable Metrics and Error Terms1
Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application1
A Priori Estimates for a System Modelling Nonhomogeneous Asymmetric Fluids1
Rates of Convergence for Asymptotically Weakly Contractive Mappings in Normed Spaces1
H-Mixed Accretive Mapping and Proximal Point Method for Solving a System of Generalized Set-Valued Variational Inclusions1
Operators Birkhoff–James Orthogonal to Spaces of Operators1
Doob’s ω-Transform on Local Dirichlet Spaces1
Finite Spectrum of Sturm–Liouville Problems with Transmission Conditions Dependent on the Spectral Parameter1
Characterizations of Boundary Conditions on Some Non-Symmetric Cones1
Stabilized SQP Methods in Hilbert Spaces1
Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices1
On Statistical Convergence in Credibility Space1
Phase Retrieval from Linear Canonical Transforms1
New Self-Adaptive Algorithms and Inertial Self-Adaptive Algorithms for the Split Variational Inclusion Problems in Hilbert Space1
An Analysis on the Existence of Mild Solution and Optimal Control for Semilinear Thermoelastic System1
A Rate of Metastability for the Halpern Type Proximal Point Algorithm1
On Some Inequalities of Differentiable Uniformly Convex Mapping with Applications1
Constructive Approximation of Continuous Interval-Valued Functions1
Optimal Controls for Fractional Backward Nonlocal Evolution Systems1
Asymptotic Behavior of Iterates of a Generic Cyclical Nonexpansive Mapping1
Optimality Conditions for a Nonsmooth Semivectorial Bilevel Optimization Problem0
Inverse Nodal Problems for Dirac-Type Integro-Differential Operators with Linear Functions in the Boundary Condition0
A Self-Adaptive Step Size Algorithm for Solving Variational Inequalities with the Split Feasibility Problem with Multiple Output Sets Constraints0
Convergence and Semi-Convergence of a Class of Constrained Block Iterative Methods0
A New Facet of a Decreasing Rearrangement Approach to Solving a Class of Urysohn Integral Equations0
Asymptotic Behaviour of ϕ-Nonexpansive Sequences and Mappings in Banach Spaces0
Average Sampling Theorems on Multidimensional Random Signals0
Subgradients of the Value Function via Multiplier Sets of Parametric Convex Discrete Optimal Control Problems0
Motzkin Sequence Spaces and Motzkin Core0
Further Seminorm and Numerical Radius Inequalities for Products and Sums of Operators0
A Super Order Regularization Scheme in Hilbert Scales under General Smoothing Conditions0
On Uniqueness of Solutions to the Boundary Value Problems on the Sierpiński Gasket0
Fixed Point and Convergence Results for Nonexpansive Set-Valued Mappings0
Local Error Bounds for Affine Variational Inequalities on Hilbert Spaces0
On Approximation by Kantorovich Exponential Sampling Operators0
Random Sampling and Reconstruction of Sparse Time- and Band-Limited Signals0
A Modified Minimal Error Method for Solving Nonlinear Integral Equations via Multiscale Galerkin Methods0
G-phase retrievable frames0
Splitting Algorithms for Equilibrium Problems and Inclusion Problems on Hadamard Manifolds0
An Approximation Problem in the Space of Bounded Operators0
Some New Results of Weaving K-Frames in Hilbert Spaces0
Global Well-Posedness in Set Optimization0
Iterative Algorithms for a System of Variational Inclusions Involving Set-Valued Quasi-Contractive Mappings in Banach Spaces0
Relative Continuity, Proximal Boundedness and Best Proximity Point Theorems0
Degenerated (p, q)-Laplacian With Weights and Related Equations With Convection0
On σ-Subdifferential Polarity and Fréchet σ-Subdifferential0
A New Boosted Proximal Point Algorithm for Minimizing Nonsmooth DC Functions0
Perturbation Resilience of Self-Adaptive Step-Size Algorithms for Solving Split Variational Inclusion Problems and their Applications0
Relatively Monotone and Relatively Generalized Monotone Maps in Nonsmooth Setting and Relative r-Monotonicity0
Variational Approaches to a Discrete Elliptic Problem with a Weight0
A Study of an Iteratively-Regularized Simplified Landweber Iteration for Nonlinear Inverse Problems in Hilbert Spaces0
Convergence of Iterates of α-Bernstein Type Operators via Fixed Point of Generalized JS-Contraction Type Mappings0
A Note on Stability of Parabolic Difference Equations on Torus0
Construction of Parseval Framelets Associated with GMRA on Local Fields of Positive Characteristic0
How Averaged is the Composition of Two Linear Projections?0
Almost Phaseless Sampling for Spline Spaces with Arbitrary Knots*0
On Some Summability Methods for aq-Analogue of an Integral Type Operator Based on Multivariateq-Lagrange Polynomials0
A Characterization of (Weak) Nonhomogeneous Wavelet Dual Frames and Mixed Oblique Principle in Sobolev Spaces on the Half Real Line0
Matrix Transformation and Compactness onq-Catalan Sequence Spaces0
Approximation Degree of Bivariate Generalized λ-Bernstein - Kantorovich Type Operators0
Approximating a Solution of the Inclusion Problem for an Infinite Family of Monotone Operators in Hadamard Spaces and Its Applications0
Approximation by Delta-Convex Mappings in Certain Spaces0
Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization0
Random Sampling of Mellin Band-Limited Signals0
Characterizations and Representations of H-S-Frames in Hilbert Spaces0
Data-Driven Morozov Regularization of Inverse Problems0
A Convexity Concept with Respect to a Pair of Functions0
Properties of the Solution Set of a Class of Mixed Variational Inqualities0
Evaluation Formula and Approximation for Wiener Integrals via the Fourier-Type Functional0
A Revisit of Elliptic Variational-Hemivariational Inequalities0
Nonlinear Evolutionary Systems Driven by Set-Valued Mixed Equilibrium Problems0
CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications0
A Neural Network Approach for Solving Weighted Nonlinear Complementarity Problems0
Convergence Analysis for Variational Inclusion Problems Equilibrium Problems and Fixed Point in Hadamard Manifolds0
An Approximating Approach to an Optimal Control Problem for an Elliptic Variational Inequality on a Mixed Boundary0
Generalized Hybrid Viscosity-Type Forward-Backward Splitting Method with Application to Convex Minimization and Image Restoration Problems0
Inverse Nodal Problem for Polynomial Potentials0
A Wavelet Plancherel Theory with Application to Multipliers and Sparse Approximations0
Some Fixed Point Results for Commuting Families of Mappings in Modular Spaces0
Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces0
Numerical Dynamics of Integrodifference Equations: Hierarchies of Invariant Bundles in Lp (Ω)0
An Efficient Derivative-Free Method for the Solution of Systems of Equations0
On Minimax Fractional Semi-Infinite Programming Problems with Applications0
Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces0
Linear Convergence for Quasi-Variational Inequalities with Inertial Projection-Type Method0
On the Bregman-proximal iterative algorithm for the monotone inclusion problem in Banach spaces0
On the Practical Compensator Design of Time-Varying Perturbed Systems in Hilbert Spaces0
Integral Global Optimality Conditions and an Algorithm for Multiobjective Problems0
Hybrid Operators for Approximating Nonsmooth Functions and Applications on Volterra Integral Equations with Weakly Singular Kernels0
A History-Dependent Inclusion with Applications in Contact Mechanics0
Multivariate Zipper Fractal Functions0
Mild Solution and Approximate Controllability of Retarded Semilinear Systems with Control Delays and Nonlocal Conditions0
Recovery of Atomic Measures on the Unit Sphere0
Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces0
On Radius of Robust Feasibility for Convex Conic Programs with Data Uncertainty0
Well-Posedness and Convergence Results for History-Dependent Inclusions0
Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces0
Tikhonov Regularization with Oversmoothing Penalty: Error Bounds in Terms of Distance Functions0
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions0
Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings0
Algebras of Calderón-Zygmund Operators on RD Spaces0
Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints0
Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings0
Nonlinear Regularized HSS Iteration Method for a Class of Nonlinear Saddle-Point Systems with Applications to Image Deblurring Problems0
Linear Functional Strategy and the Approximate Inverse for Nonlinear Ill-Posed Problems0
Properties of Positive Linear Operators Connected with Squared Fundamental Functions0
Best Proximity Point Results via Measure of Noncompactness and Application0
An improvement on the global error bound estimation for ELCP and its applications0
Generalized Drazin Invertibility of Operator Matrices0
On the Solvability of a Class of Nonlinear Integral Equations in Hölder Spaces0
Tensor CUR Decomposition under T-Product and Its Perturbation0
KW-Type Nonlinear Contractions and Their Best Proximity Points0
A Stabilized Sequential Quadratic Programming Method for Optimization Problems in Function Spaces0
A New Application of a Wider Class of Power Increasing Sequences0
Parallel Normal S-Iteration Methods with Applications to Optimization Problems0
The Concept of a Trace and the Boundedness of the Trace Operator in Banach-Sobolev Function Spaces0
Approximation by Durrmeyer Type Exponential Sampling Operators0
Monotone Vector Fields and Generation of Nonexpansive Semigroups in Complete CAT(0) Spaces0
Nonsymmetric Algebraic Riccati Equations under the Tensor Product0
A Convergence Theorem of an Implicit Type Iteration in a Geodesic Space0
A Nonlinearly Preconditioned Forward-Backward Splitting Method and Applications0
Bochner–Riesz Means andK-Functional on Triebel–Lizorkin Spaces0
Regional Boundary Observability for Semilinear Fractional Systems with Riemann-Liouville Derivative0
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