OOIR: Observatory of International Research

Papers

(The median citation count of Numerical Functional Analysis and Optimization is 1. 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 2021-05-01 to 2025-05-01.)

Article	Citations
On the Type of Ill-Posedness of Generalized Hilbert Matrices and Related Operators	27
Q-duals and Q-approximate duals of g-frames in Hilbert spaces	22
Optimal Convergence of the Discrepancy Principle for Polynomially and Exponentially Ill-Posed Operators under White Noise	21
Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings^*	20
An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes	18
A Dynamical Splitting Method for Minimizing the Sum of Three Convex Functions	17
Composition of Euler Scaling Functions with the Optimization Method for Fractional Hyperbolic and Reaction-Diffusion Equations with Nonlocal Boundary Conditions	17
Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations	16
Tight wavelet frames on zero-dimensional groups. Construction and approximation	12
Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces	12
Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis	11
Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application	11
Existence Results for Integro-Differential Equations with Reflection	11
Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations	10
On Property- and Relative Chebyshev Centres in Banach Spaces	10
Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints	9
On some generalizations of Darbo- and Sadovskii- type fixed point theorems in Fréchet spaces	9
Nonsymmetric Algebraic Riccati Equations under the Tensor Product	8
Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents	8
Forward and Backward Problems for Coupled Subdiffusion Systems	8
Combined Legendre Spectral-Finite Element Methods for Two-Dimensional Fredholm Integral Equations of the Second Kind	7
Properties of the Solution Set of a Class of Mixed Variational Inqualities	7
Applications of Fell Topology to Closed Set-Valued Optimizations in Partially Ordered First Countable Topological Vector Spaces	7
A Wavelet Plancherel Theory with Application to Multipliers and Sparse Approximations	7
Exponential Sampling Type Kantorovich Max-Product Neural Network Operators	7

Fixed Point and Convergence Results for Nonexpansive Set-Valued Mappings	7
Data-Driven Morozov Regularization of Inverse Problems	6
A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations	6
Generalized Drazin Invertibility of Operator Matrices	6
The Strongly Convergent Relaxed Alternating CQ Algorithms for the Split Equality Problem in Hilbert Spaces	6
Existence Results for State-Dependent Maximal Monotone Differential Inclusions: Fixed Point Approach	6
A Modified Minimal Error Method for Solving Nonlinear Integral Equations via Multiscale Galerkin Methods	5
Average Sampling Theorems on Multidimensional Random Signals	5
Generalized Hybrid Viscosity-Type Forward-Backward Splitting Method with Application to Convex Minimization and Image Restoration Problems	5
Convergence and Semi-Convergence of a Class of Constrained Block Iterative Methods	5
Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces	5
A Note on Stability of Parabolic Difference Equations on Torus	5
Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces	5
Linear Functional Strategy and the Approximate Inverse for Nonlinear Ill-Posed Problems	5
On Approximation by Kantorovich Exponential Sampling Operators	5
Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations	4
Generalized Riccati Operator Equations, Invariant Subspaces and Toeplitz Corona Problem	4
An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ	4
On the Modification of Mellin Convolution Operator and Its Associated Information Potential	4
Time-Frequency Analysis of Gabor Multipliers Associated with the Multidimensional Hankel-Stockwell Transform	4
Strong Convergence of Trajectories via Inertial Dynamics Combining Hessian-Driven Damping and Tikhonov Regularization for General Convex Minimizations	4
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems	4
Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications	4
Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem	4
Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces	4
Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties	4
Some Results on Oblique Dual and Approximate Oblique Dual Hilbert-Schmidt Frames	3
Necessary and Sufficient Optimality Conditions for Non-regular Problems	3
Relatively Nonexpansive Mappings in k-Uniformly Convex Banach Spaces	3
On Diferential Inclusions Arising from Some Discontinuous Systems	3
On the Gamma Spaces Including the Spaces of Absolutelyp-Summable, Null, Convergent and Bounded Sequences	3
Tseng’s Algorithm with Extrapolation from the past Endowed with Variable Metrics and Error Terms	3
Error Estimates for Approximate Solutions to Seminlinear Elliptic Optimal Control Problems with Nonlinear and Mixed Constraints	3
Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product	3
Stability Radius of S-Quasimonotone Maps	3
Characterizations of Boundary Conditions on Some Non-Symmetric Cones	3
Estimating Solution Smoothness and Data Noise with Tikhonov Regularization	3
Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators	3
A Fully Discrete Approximation of a New Two-Temperature Thermoelastic Model	3
Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces	3
Doob’s ω-Transform on Local Dirichlet Spaces	3
Approximation by α -Bernstein-Kantorovich Type Operators for Functions of One and Two Variables	2
Multidimensional Strongly Deferred Invariant Convergence	2
Multiple Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential	2
Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions	2
Algebras of Calderón-Zygmund Operators on RD Spaces	2
First-Order Conditions for the Optimal Control of Learning-Informed Nonsmooth PDEs	2
Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints	2
Regional Boundary Observability for Semilinear Fractional Systems with Riemann-Liouville Derivative	2
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions	2

Time Optimal Control Problem of the 3D Navier-Stokes-α Equations	2
Phase Retrieval from Linear Canonical Transforms	2
On the Smoothness of the Solution of Fuzzy Volterra Integral Equations of the Second Kind with Weakly Singular Kernels	2
Frames and Dual Frames for Krein Spaces	2
Statistical Convergence of Sequences of Functions in Neutrosophic Normed Spaces	2
Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems	2
Cyclic Meir-Keeler Contraction and Its Fractals	2
Global Well-Posedness in Set Optimization	2
Characterizations and Representations of H-S-Frames in Hilbert Spaces	2
Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces	2
Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints	2
Semigroups of Composition Operators on Vector-Valued Hardy Spaces	2
Positive Definite Functions on Products via Fourier Transforms: Old and New	2
Motzkin Sequence Spaces and Motzkin Core	2
On the Bregman-proximal iterative algorithm for the monotone inclusion problem in Banach spaces	2
The Complete Solution of the Construction Problem of Infinite Frames with Given Redundancy	2
A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems	2
Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions	2
A New Existence Result of Equilibria for Vector Equilibrium Problems	2
Minimax Theorem for Two Set-Valued Mappings with Nonconvex Domains	2
An Approximation Problem in the Space of Bounded Operators	2
On Quasi-Inertial Double Extragradient-Type Iterations for Variational Inequalities with CFPP Constraint Involving Bregman Relatively Asymptotically Nonexpansive Mapping	2
Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization	2
On a Gauss-Kummer Convergence Model	2
Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings	2
Approximation of Periodic Functions of Bounded Variation by Some Positive Linear Operators	2
Existence Results for a 2nth-Order Differential Equation with Sturm-Liouville Operator	2
An Existence Theorem for Some Nonlinear Volterra-Fredholm Integral Equations in the Space of Continuous Tempered Functions	2
Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions	2
Box Constraints and Weighted Sparsity Regularization for Identifying Sources in Elliptic PDEs	1
On Radius of Robust Feasibility for Convex Conic Programs with Data Uncertainty	1
Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure	1
A Super Order Regularization Scheme in Hilbert Scales under General Smoothing Conditions	1
On Absolute Matrix Summability of Factored Infinite Series and Fourier Series	1
KW-Type Nonlinear Contractions and Their Best Proximity Points	1
Convergence of Iterates of α-Bernstein Type Operators via Fixed Point of Generalized JS-Contraction Type Mappings	1
On σ-Subdifferential Polarity and Fréchet σ-Subdifferential	1
Relatively Monotone and Relatively Generalized Monotone Maps in Nonsmooth Setting and Relative r-Monotonicity	1
Convergence of an Inertial Shadow Douglas-Rachford Splitting Algorithm for Monotone Inclusions	1
Matrix Transformation and Compactness onq-Catalan Sequence Spaces	1
Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach	1
On k -WUR and its generalizations	1
A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds	1
Some Fixed Point Results for Commuting Families of Mappings in Modular Spaces	1
fgh -Convex Functions and Entropy Bounds	1
Approximation by Max-Min Neural Network Operators	1
A semi-alternating algorithm for solving nonconvex split equality problems	1
A Convexity Concept with Respect to a Pair of Functions	1
Random Sampling and Reconstruction of Sparse Time- and Band-Limited Signals	1
On the Eigenstructure of the Modified Bernstein Operators	1
On Minimax Fractional Semi-Infinite Programming Problems with Applications	1
Analysis of a Fitted Finite Difference Scheme for a Semilinear System of Singularly Perturbed Reaction-Diffusion Equations Having Discontinuous Source Term	1
Two New Inertial Algorithms for Solving Variational Inequalities in Reflexive Banach Spaces	1
Fixed Point Theorems in Generalized Banach Algebras and an Application to Infinite Systems in ????([0, 1], c₀) × ????([0, 1], c₀)	1
A New Boosted Proximal Point Algorithm for Minimizing Nonsmooth DC Functions	1
Dual Variable Inertial Accelerated Algorithm for Split System of Null Point Equality Problems	1
Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces	1
CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications	1
A Neural Network Approach for Solving Weighted Nonlinear Complementarity Problems	1
An Approximating Approach to an Optimal Control Problem for an Elliptic Variational Inequality on a Mixed Boundary^⋆	1
A History-Dependent Inclusion with Applications in Contact Mechanics	1
Characterization and Construction of Approximate Q -Oblique Dual g-Frames	1
Further Seminorm and Numerical Radius Inequalities for Products and Sums of Operators	1
On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains	1
The Study of the Solvability of Infinite Systems of Integral Equations via Measures of Noncompactness	1
Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices	1