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 2022-01-01 to 2026-01-01.)

Article	Citations
Q-duals and Q-approximate duals of g-frames in Hilbert spaces	37
An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes	28
On the Type of Ill-Posedness of Generalized Hilbert Matrices and Related Operators	20
A Dynamical Splitting Method for Minimizing the Sum of Three Convex Functions	20
Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis	19
Tight wavelet frames on zero-dimensional groups. Construction and approximation	16
Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations	15
Composition of Euler Scaling Functions with the Optimization Method for Fractional Hyperbolic and Reaction-Diffusion Equations with Nonlocal Boundary Conditions	15
Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application	15
Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces	15
Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints	13
On Property- and Relative Chebyshev Centres in Banach Spaces	13
Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents	12
On some generalizations of Darbo- and Sadovskii- type fixed point theorems in Fréchet spaces	11
A Wavelet Plancherel Theory with Application to Multipliers and Sparse Approximations	11
Nonsymmetric Algebraic Riccati Equations under the Tensor Product	10
Forward and Backward Problems for Coupled Subdiffusion Systems	10
Properties of the Solution Set of a Class of Mixed Variational Inqualities	10
Existence Results for State-Dependent Maximal Monotone Differential Inclusions: Fixed Point Approach	8
Applications of Fell Topology to Closed Set-Valued Optimizations in Partially Ordered First Countable Topological Vector Spaces	8
Exponential Sampling Type Kantorovich Max-Product Neural Network Operators	8
Combined Legendre Spectral-Finite Element Methods for Two-Dimensional Fredholm Integral Equations of the Second Kind	7
Data-Driven Morozov Regularization of Inverse Problems	7
Subinvariant Metric Functionals for Nonexpansive Mappings	7
A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations	7

Time-Frequency Analysis of Gabor Multipliers Associated with the Multidimensional Hankel-Stockwell Transform	6
Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces	6
Linear Functional Strategy and the Approximate Inverse for Nonlinear Ill-Posed Problems	6
Generalized Drazin Invertibility of Operator Matrices	6
A Modified Minimal Error Method for Solving Nonlinear Integral Equations via Multiscale Galerkin Methods	6
A Note on Stability of Parabolic Difference Equations on Torus	6
Generalized Riccati Operator Equations, Invariant Subspaces and Toeplitz Corona Problem	5
Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces	5
Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations	5
Strong Convergence of Trajectories via Inertial Dynamics Combining Hessian-Driven Damping and Tikhonov Regularization for General Convex Minimizations	4
Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties	4
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems	4
Necessary and Sufficient Optimality Conditions for Non-regular Problems	4
Stability Radius of S-Quasimonotone Maps	4
Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications	4
Some Results on Oblique Dual and Approximate Oblique Dual Hilbert-Schmidt Frames	4
On the Modification of Mellin Convolution Operator and Its Associated Information Potential	4
Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product	4
Solving Inverse Problems for Nonlinear Fractional Differential Equations Using Fractional-Order Hybrid Fibonacci Functions	4
An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ	4
Error Estimates for Approximate Solutions to Seminlinear Elliptic Optimal Control Problems with Nonlinear and Mixed Constraints	4
Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators	4
A Fully Discrete Approximation of a New Two-Temperature Thermoelastic Model	4
On the Numerical Evaluation of Invertible Regularized Matrices based on High-Order Discretizations of the Laplace Operator for Ill-posed Linear Systems	4
Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces	3
Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints	3
Regional Boundary Observability for Semilinear Fractional Systems with Riemann-Liouville Derivative	3
On Quasi-Inertial Double Extragradient-Type Iterations for Variational Inequalities with CFPP Constraint Involving Bregman Relatively Asymptotically Nonexpansive Mapping	3
Tseng’s Algorithm with Extrapolation from the past Endowed with Variable Metrics and Error Terms	3
On Diferential Inclusions Arising from Some Discontinuous Systems	3
Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings	3
Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization	3
Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces	3
Positive Definite Functions on Products via Fourier Transforms: Old and New	3
First-Order Conditions for the Optimal Control of Learning-Informed Nonsmooth PDEs	3
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions	3
On the Gamma Spaces Including the Spaces of Absolutelyp-Summable, Null, Convergent and Bounded Sequences	3
Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions	2
Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions	2
Characterizations and Representations of H-S-Frames in Hilbert Spaces	2
Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions	2
On the Bregman-proximal iterative algorithm for the monotone inclusion problem in Banach spaces	2
Approximation by α -Bernstein-Kantorovich Type Operators for Functions of One and Two Variables	2
A History-Dependent Inclusion with Applications in Contact Mechanics	2
Relatively Monotone and Relatively Generalized Monotone Maps in Nonsmooth Setting and Relative r-Monotonicity	2
Motzkin Sequence Spaces and Motzkin Core	2
The Complete Solution of the Construction Problem of Infinite Frames with Given Redundancy	2
Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems	2
Foreword to Recent Developments in Inverse Problems – Dedicated to the 70th Birthday of Professor Bernd Hofmann	2
Algebras of Calderón-Zygmund Operators on RD Spaces	2

Semigroups of Composition Operators on Vector-Valued Hardy Spaces	2
Frames and Dual Frames for Krein Spaces	2
Phase Retrieval from Linear Canonical Transforms	2
Quasi-Newton Method for Set Optimization Problems with Set-Valued Mapping Given by Finitely Many Vector-Valued Functions	2
Random Sampling and Reconstruction of Sparse Time- and Band-Limited Signals	2
Existence of Best Proximity Pair for Class of Enriched Type Nonexpansive Mappings with Applications	2
Characterization and Construction of Approximate Q -Oblique Dual g-Frames	2
Time Optimal Control Problem of the 3D Navier-Stokes-α Equations	2
On a Gauss-Kummer Convergence Model	2
An Approximation Problem in the Space of Bounded Operators	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
A Super Order Regularization Scheme in Hilbert Scales under General Smoothing Conditions	2
A New Existence Result of Equilibria for Vector Equilibrium Problems	2
On σ-Subdifferential Polarity and Fréchet σ-Subdifferential	2
A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems	2
Tensor CUR Decomposition under T-Product and Its Perturbation	1
A Generalization of the Concept of Proper Efficiency in the Decomposed Multi-Objective Optimization Problems	1
Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group	1
Asymptotic Behavior of Iterates of a Generic Cyclical Nonexpansive Mapping	1
On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains	1
On k -WUR and its generalizations	1
Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations	1
On Absolute Matrix Summability of Factored Infinite Series and Fourier Series	1
The Inexact Parallel Splitting Augmented Lagrangian Algorithm for Multistage Stochastic Variational Inequalities	1
Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces	1
On the Eigenstructure of the Modified Bernstein Operators	1
An Approximating Approach to an Optimal Control Problem for an Elliptic Variational Inequality on a Mixed Boundary^⋆	1
Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach	1
Regularized Nyström Subsampling in Covariate Shift Domain Adaptation Problems	1
Core–EP Star and Star Core–EP Operators	1
Nonlinear Regularized HSS Iteration Method for a Class of Nonlinear Saddle-Point Systems with Applications to Image Deblurring Problems	1
The Closest Point Theorem in CAT _p (0) Metric Spaces	1
Box Constraints and Weighted Sparsity Regularization for Identifying Sources in Elliptic PDEs	1
The Study of the Solvability of Infinite Systems of Integral Equations via Measures of Noncompactness	1
A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds	1
Matrix Transformation and Compactness onq-Catalan Sequence Spaces	1
Approximation by Max-Min Neural Network Operators	1
A New Boosted Proximal Point Algorithm for Minimizing Nonsmooth DC Functions	1
Convergence of Iterates of α-Bernstein Type Operators via Fixed Point of Generalized JS-Contraction Type Mappings	1
Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices	1
An approach to preserve functions with exponential growth by using modified Lupaş-Kantrovich operators	1
Cross-Frame Potential	1
Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces	1
Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints	1
Approximation Degree of Bivariate Generalized λ-Bernstein - Kantorovich Type Operators	1
Further Seminorm and Numerical Radius Inequalities for Products and Sums of Operators	1
Analysis of a Fitted Finite Difference Scheme for a Semilinear System of Singularly Perturbed Reaction-Diffusion Equations Having Discontinuous Source Term	1
Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure	1
CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications	1
A Convexity Concept with Respect to a Pair of Functions	1
A Neural Network Approach for Solving Weighted Nonlinear Complementarity Problems	1
fgh -Convex Functions and Entropy Bounds	1
Fixed Point Theorems in Generalized Banach Algebras and an Application to Infinite Systems in ????([0, 1], c₀) × ????([0, 1], c₀)	1