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 2022-08-01 to 2026-08-01.)

Article	Citations
On the Type of Ill-Posedness of Generalized Hilbert Matrices and Related Operators	44
Q-duals and Q-approximate duals of g-frames in Hilbert spaces	28
An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes	27
Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis	26
Tight wavelet frames on zero-dimensional groups. Construction and approximation	22
Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces	18
On some generalizations of Darbo- and Sadovskii- type fixed point theorems in Fréchet spaces	13
Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints	13
Exponential Sampling Type Kantorovich Max-Product Neural Network Operators	12
Nonsymmetric Algebraic Riccati Equations under the Tensor Product	12
Properties of the Solution Set of a Class of Mixed Variational Inqualities	12
Forward and Backward Problems for Coupled Subdiffusion Systems	11
Analysis of a Least Squares Weak Galerkin Finite Element Method for a Maxwell Interface Problem	10
Numerical Analysis for the Normalized Time-Fractional Modica–Mortola Functional	9
Combined Legendre Spectral-Finite Element Methods for Two-Dimensional Fredholm Integral Equations of the Second Kind	8
Data-Driven Morozov Regularization of Inverse Problems	8
Subinvariant Metric Functionals for Nonexpansive Mappings	8
Applications of Fell Topology to Closed Set-Valued Optimizations in Partially Ordered First Countable Topological Vector Spaces	8
A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations	7
Generalized Drazin Invertibility of Operator Matrices	7
A Note on Stability of Parabolic Difference Equations on Torus	7
Time-Frequency Analysis of Gabor Multipliers Associated with the Multidimensional Hankel-Stockwell Transform	6
Linear Functional Strategy and the Approximate Inverse for Nonlinear Ill-Posed Problems	6
Algorithmic Aspect and Iterative Approximation of a Solution for a System of Generalized Multi-Valued Variational-Like Inclusions in Banach Spaces	6
Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces	5

Generalized Riccati Operator Equations, Invariant Subspaces and Toeplitz Corona Problem	5
Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications	5
On the Numerical Evaluation of Invertible Regularized Matrices based on High-Order Discretizations of the Laplace Operator for Ill-posed Linear Systems	4
On the Modification of Mellin Convolution Operator and Its Associated Information Potential	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
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems	4
Stability Radius of S-Quasimonotone Maps	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
Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties	4
A Fully Discrete Approximation of a New Two-Temperature Thermoelastic Model	4
Approximating the Nonlocal Curvature of Planar Curves	4
Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators	4
Generalized Derivatives in Hilbert Spaces	4
Tseng’s Algorithm with Extrapolation from the past Endowed with Variable Metrics and Error Terms	3
Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces	3
Regional Boundary Observability for Semilinear Fractional Systems with Riemann-Liouville Derivative	3
Necessary and Sufficient Optimality Conditions for Non-regular Problems	3
Alternated Inertial Viscosity-Type CQ Algorithm with Dual Adaptive Step Sizes for Solving the Split Equality Problem in Hilbert Spaces	3
Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings	3
Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces	3
Solving Inverse Problems for Nonlinear Fractional Differential Equations Using Fractional-Order Hybrid Fibonacci Functions	3
On Diferential Inclusions Arising from Some Discontinuous Systems	3
First-Order Conditions for the Optimal Control of Learning-Informed Nonsmooth PDEs	3
Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints	3
The Complete Solution of the Construction Problem of Infinite Frames with Given Redundancy	2
Some results of Karush-Kuhn-Tucker multipliers in robust semi-infinite multiobjective optimization	2
A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems	2
A New Existence Result of Equilibria for Vector Equilibrium Problems	2
Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions	2
An Approximation Problem in the Space of Bounded Operators	2
Algebras of Calderón-Zygmund Operators on RD Spaces	2
Approximation by α -Bernstein-Kantorovich Type Operators for Functions of One and Two Variables	2
Optimal Feedback Control Results for Damped Second-Order Stochastic Neutral Impulsive Evolution Systems	2
Existence of Best Proximity Pair for Class of Enriched Type Nonexpansive Mappings with Applications	2
Statistical Convergence of Sequences of Functions in Neutrosophic Normed Spaces	2
Foreword to Recent Developments in Inverse Problems – Dedicated to the 70th Birthday of Professor Bernd Hofmann	2
Characterizations and Representations of H-S-Frames in Hilbert Spaces	2
Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions	2
Multiple Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential	2
Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions	2
On the Bregman-proximal iterative algorithm for the monotone inclusion problem in Banach spaces	2
Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems	2
On Quasi-Inertial Double Extragradient-Type Iterations for Variational Inequalities with CFPP Constraint Involving Bregman Relatively Asymptotically Nonexpansive Mapping	2
Frames and Dual Frames for Krein Spaces	2
A New Boosted Proximal Point Algorithm for Minimizing Nonsmooth DC Functions	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
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
Singular Values of Dual Quaternion Matrices and Their Low-Rank Approximations	1
Box Constraints and Weighted Sparsity Regularization for Identifying Sources in Elliptic PDEs	1
The Closest Point Theorem in CAT _p (0) Metric Spaces	1
Fixed Point Theorems in Generalized Banach Algebras and an Application to Infinite Systems in ????([0, 1], c₀) × ????([0, 1], c₀)	1
Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices	1
fgh -Convex Functions and Entropy Bounds	1
A Neural Network Approach for Solving Weighted Nonlinear Complementarity Problems	1
Approximation by Max-Min Neural Network Operators	1
On the Eigenstructure of the Modified Bernstein Operators	1
On σ-Subdifferential Polarity and Fréchet σ-Subdifferential	1
Correction	1
A Generalization of the Concept of Proper Efficiency in the Decomposed Multi-Objective Optimization Problems	1
A Super Order Regularization Scheme in Hilbert Scales under General Smoothing Conditions	1
Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces	1
Approximation Degree of Bivariate Generalized λ-Bernstein - Kantorovich Type 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
Further Seminorm and Numerical Radius Inequalities for Products and Sums of Operators	1
Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces	1
Phase Retrieval from Linear Canonical Transforms	1
Relatively Monotone and Relatively Generalized Monotone Maps in Nonsmooth Setting and Relative r-Monotonicity	1
On k -WUR and its generalizations	1
Motzkin Sequence Spaces and Motzkin Core	1
Core–EP Star and Star Core–EP Operators	1
On Absolute Matrix Summability of Factored Infinite Series and Fourier Series	1
Degenerated and Competing Horizontal (p, q)-Laplacians with Weights on the Heisenberg Group	1
Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints	1
Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach	1
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
The Inexact Parallel Splitting Augmented Lagrangian Algorithm for Multistage Stochastic Variational Inequalities	1