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 2021-09-01 to 2025-09-01.)

Article	Citations
Q-duals and Q-approximate duals of g-frames in Hilbert spaces	34
Optimal Convergence of the Discrepancy Principle for Polynomially and Exponentially Ill-Posed Operators under White Noise	24
On the Type of Ill-Posedness of Generalized Hilbert Matrices and Related Operators	23
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	14
Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces	13
Tight wavelet frames on zero-dimensional groups. Construction and approximation	13
Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis	13
Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations	12
On Property- and Relative Chebyshev Centres in Banach Spaces	11
Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application	10
Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints	9
Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents	9
Forward and Backward Problems for Coupled Subdiffusion Systems	9
Exponential Sampling Type Kantorovich Max-Product Neural Network Operators	8
A Wavelet Plancherel Theory with Application to Multipliers and Sparse Approximations	8
On some generalizations of Darbo- and Sadovskii- type fixed point theorems in Fréchet spaces	8
Fixed Point and Convergence Results for Nonexpansive Set-Valued Mappings	8
Properties of the Solution Set of a Class of Mixed Variational Inqualities	8
Existence Results for State-Dependent Maximal Monotone Differential Inclusions: Fixed Point Approach	7
Applications of Fell Topology to Closed Set-Valued Optimizations in Partially Ordered First Countable Topological Vector Spaces	7
Nonsymmetric Algebraic Riccati Equations under the Tensor Product	7
Combined Legendre Spectral-Finite Element Methods for Two-Dimensional Fredholm Integral Equations of the Second Kind	6
A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations	6

Data-Driven Morozov Regularization of Inverse Problems	6
A Note on Stability of Parabolic Difference Equations on Torus	6
Generalized Drazin Invertibility of Operator Matrices	6
Subinvariant Metric Functionals for Nonexpansive Mappings	6
Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces	5
Time-Frequency Analysis of Gabor Multipliers Associated with the Multidimensional Hankel-Stockwell Transform	5
A Modified Minimal Error Method for Solving Nonlinear Integral Equations via Multiscale Galerkin Methods	5
Convergence and Semi-Convergence of a Class of Constrained Block Iterative Methods	5
Linear Functional Strategy and the Approximate Inverse for Nonlinear Ill-Posed Problems	5
On the Modification of Mellin Convolution Operator and Its Associated Information Potential	4
Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications	4
Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations	4
Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties	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
Some Results on Oblique Dual and Approximate Oblique Dual Hilbert-Schmidt Frames	4
Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators	4
Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces	4
Strong Convergence of Trajectories via Inertial Dynamics Combining Hessian-Driven Damping and Tikhonov Regularization for General Convex Minimizations	4
Error Estimates for Approximate Solutions to Seminlinear Elliptic Optimal Control Problems with Nonlinear and Mixed Constraints	4
Estimating Solution Smoothness and Data Noise with Tikhonov Regularization	3
Tseng’s Algorithm with Extrapolation from the past Endowed with Variable Metrics and Error Terms	3
Solving Inverse Problems for Nonlinear Fractional Differential Equations Using Fractional-Order Hybrid Fibonacci Functions	3
Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces	3
Relatively Nonexpansive Mappings in k-Uniformly Convex Banach Spaces	3
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems	3
Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product	3
On the Numerical Evaluation of Invertible Regularized Matrices based on High-Order Discretizations of the Laplace Operator for Ill-posed Linear Systems	3
On the Gamma Spaces Including the Spaces of Absolutelyp-Summable, Null, Convergent and Bounded Sequences	3
A Fully Discrete Approximation of a New Two-Temperature Thermoelastic Model	3
Necessary and Sufficient Optimality Conditions for Non-regular Problems	3
Characterizations of Boundary Conditions on Some Non-Symmetric Cones	3
Stability Radius of S-Quasimonotone Maps	3
Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces	3
A New Existence Result of Equilibria for Vector Equilibrium Problems	2
Approximation by α -Bernstein-Kantorovich Type Operators for Functions of One and Two Variables	2
Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems	2
Global Well-Posedness in Set Optimization	2
Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions	2
Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization	2
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions	2
On Diferential Inclusions Arising from Some Discontinuous Systems	2
Semigroups of Composition Operators on Vector-Valued Hardy Spaces	2
Motzkin Sequence Spaces and Motzkin Core	2
Time Optimal Control Problem of the 3D Navier-Stokes-α Equations	2
Multiple Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential	2
Statistical Convergence of Sequences of Functions in Neutrosophic Normed Spaces	2
Frames and Dual Frames for Krein Spaces	2
Characterizations and Representations of H-S-Frames in Hilbert Spaces	2
An Approximation Problem in the Space of Bounded Operators	2

Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints	2
Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings	2
On a Gauss-Kummer Convergence Model	2
Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions	2
Phase Retrieval from Linear Canonical Transforms	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
Algebras of Calderón-Zygmund Operators on RD Spaces	2
On Quasi-Inertial Double Extragradient-Type Iterations for Variational Inequalities with CFPP Constraint Involving Bregman Relatively Asymptotically Nonexpansive Mapping	2
First-Order Conditions for the Optimal Control of Learning-Informed Nonsmooth PDEs	2
Positive Definite Functions on Products via Fourier Transforms: Old and New	2
Regional Boundary Observability for Semilinear Fractional Systems with Riemann-Liouville Derivative	2
Foreword to Recent Developments in Inverse Problems – Dedicated to the 70th Birthday of Professor Bernd Hofmann	2
On the Bregman-proximal iterative algorithm for the monotone inclusion problem in Banach spaces	2
On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains	1
CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications	1
On Radius of Robust Feasibility for Convex Conic Programs with Data Uncertainty	1
Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints	1
On Minimax Fractional Semi-Infinite Programming Problems with Applications	1
fgh -Convex Functions and Entropy Bounds	1
Approximation by Max-Min Neural Network Operators	1
Box Constraints and Weighted Sparsity Regularization for Identifying Sources in Elliptic PDEs	1
Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces	1
A New Boosted Proximal Point Algorithm for Minimizing Nonsmooth DC Functions	1
Relatively Monotone and Relatively Generalized Monotone Maps in Nonsmooth Setting and Relative r-Monotonicity	1
Some Fixed Point Results for Commuting Families of Mappings in Modular Spaces	1
Incremental Quasi-Subgradient Method for Minimizing Sum of Geodesic Quasi-Convex Functions on Riemannian Manifolds with Applications	1
Asymptotic Behavior of Iterates of a Generic Cyclical Nonexpansive Mapping	1
The Study of the Solvability of Infinite Systems of Integral Equations via Measures of Noncompactness	1
Analysis of a Fitted Finite Difference Scheme for a Semilinear System of Singularly Perturbed Reaction-Diffusion Equations Having Discontinuous Source Term	1
A Convexity Concept with Respect to a Pair of Functions	1
Two New Inertial Algorithms for Solving Variational Inequalities in Reflexive Banach Spaces	1
The Inexact Parallel Splitting Augmented Lagrangian Algorithm for Multistage Stochastic Variational Inequalities	1
On Absolute Matrix Summability of Factored Infinite Series and Fourier Series	1
Convergence of Iterates of α-Bernstein Type Operators via Fixed Point of Generalized JS-Contraction Type Mappings	1
A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds	1
On σ-Subdifferential Polarity and Fréchet σ-Subdifferential	1
A History-Dependent Inclusion with Applications in Contact Mechanics	1
Random Sampling and Reconstruction of Sparse Time- and Band-Limited Signals	1
A Super Order Regularization Scheme in Hilbert Scales under General Smoothing Conditions	1
Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure	1
Approximation Degree of Bivariate Generalized λ-Bernstein - Kantorovich Type Operators	1
Convergence of an Inertial Shadow Douglas-Rachford Splitting Algorithm for Monotone Inclusions	1
Fixed Point Theorems in Generalized Banach Algebras and an Application to Infinite Systems in ????([0, 1], c₀) × ????([0, 1], c₀)	1
Further Seminorm and Numerical Radius Inequalities for Products and Sums of Operators	1
Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices	1
An Approximating Approach to an Optimal Control Problem for an Elliptic Variational Inequality on a Mixed Boundary^⋆	1
On k -WUR and its generalizations	1
On the Eigenstructure of the Modified Bernstein Operators	1
Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach	1
A Neural Network Approach for Solving Weighted Nonlinear Complementarity Problems	1
Quasi-Newton Method for Set Optimization Problems with Set-Valued Mapping Given by Finitely Many Vector-Valued Functions	1
Characterization and Construction of Approximate Q -Oblique Dual g-Frames	1
Matrix Transformation and Compactness onq-Catalan Sequence Spaces	1
Rates of Convergence for Asymptotically Weakly Contractive Mappings in Normed Spaces	1