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 2021-11-01 to 2025-11-01.)

Article	Citations
Q-duals and Q-approximate duals of g-frames in Hilbert spaces	35
An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes	27
On the Type of Ill-Posedness of Generalized Hilbert Matrices and Related Operators	25
Optimal Convergence of the Discrepancy Principle for Polynomially and Exponentially Ill-Posed Operators under White Noise	19
A Dynamical Splitting Method for Minimizing the Sum of Three Convex Functions	17
Tight wavelet frames on zero-dimensional groups. Construction and approximation	14
Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis	14
Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations	13
Composition of Euler Scaling Functions with the Optimization Method for Fractional Hyperbolic and Reaction-Diffusion Equations with Nonlocal Boundary Conditions	13
On Property- and Relative Chebyshev Centres in Banach Spaces	13
Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces	13
Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application	12
Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints	11
Rigorous Numerical Enclosures for Positive Solutions of Lane–Emden’s Equation with Sub-Square Exponents	11
On some generalizations of Darbo- and Sadovskii- type fixed point theorems in Fréchet spaces	10
Forward and Backward Problems for Coupled Subdiffusion Systems	10
A Wavelet Plancherel Theory with Application to Multipliers and Sparse Approximations	9
Fixed Point and Convergence Results for Nonexpansive Set-Valued Mappings	9
Exponential Sampling Type Kantorovich Max-Product Neural Network Operators	9
Nonsymmetric Algebraic Riccati Equations under the Tensor Product	8
Properties of the Solution Set of a Class of Mixed Variational Inqualities	8
Applications of Fell Topology to Closed Set-Valued Optimizations in Partially Ordered First Countable Topological Vector Spaces	8
Combined Legendre Spectral-Finite Element Methods for Two-Dimensional Fredholm Integral Equations of the Second Kind	7
Generalized Drazin Invertibility of Operator Matrices	7
Data-Driven Morozov Regularization of Inverse Problems	7

Existence Results for State-Dependent Maximal Monotone Differential Inclusions: Fixed Point Approach	7
A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations	7
A Note on Stability of Parabolic Difference Equations on Torus	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	6
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
A Modified Minimal Error Method for Solving Nonlinear Integral Equations via Multiscale Galerkin Methods	6
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
Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications	5
Generalized Riccati Operator Equations, Invariant Subspaces and Toeplitz Corona Problem	5
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
Estimating Solution Smoothness and Data Noise with Tikhonov Regularization	4
Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product	4
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
Tseng’s Algorithm with Extrapolation from the past Endowed with Variable Metrics and Error Terms	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
Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators	4
Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings	3
A Fully Discrete Approximation of a New Two-Temperature Thermoelastic Model	3
Solving Inverse Problems for Nonlinear Fractional Differential Equations Using Fractional-Order Hybrid Fibonacci Functions	3
Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach 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
Necessary and Sufficient Optimality Conditions for Non-regular Problems	3
On the Numerical Evaluation of Invertible Regularized Matrices based on High-Order Discretizations of the Laplace Operator for Ill-posed Linear Systems	3
Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces	3
Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints	3
On Diferential Inclusions Arising from Some Discontinuous Systems	3
Relatively Nonexpansive Mappings in k-Uniformly Convex Banach Spaces	3
Stability Radius of S-Quasimonotone Maps	3
On the Gamma Spaces Including the Spaces of Absolutelyp-Summable, Null, Convergent and Bounded Sequences	3
Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization	2
Regional Boundary Observability for Semilinear Fractional Systems with Riemann-Liouville Derivative	2
Approximation by α -Bernstein-Kantorovich Type Operators for Functions of One and Two Variables	2
Relatively Monotone and Relatively Generalized Monotone Maps in Nonsmooth Setting and Relative r-Monotonicity	2
Motzkin Sequence Spaces and Motzkin Core	2
Characterization and Construction of Approximate Q -Oblique Dual g-Frames	2
Multiple Solutions to p-Biharmonic Equations of Kirchhoff Type with Vanishing Potential	2
Time Optimal Control Problem of the 3D Navier-Stokes-α Equations	2
Semigroups of Composition Operators on Vector-Valued Hardy Spaces	2
Characterizations and Representations of H-S-Frames in Hilbert Spaces	2
On Quasi-Inertial Double Extragradient-Type Iterations for Variational Inequalities with CFPP Constraint Involving Bregman Relatively Asymptotically Nonexpansive Mapping	2
Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions	2
A New Existence Result of Equilibria for Vector Equilibrium Problems	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
Phase Retrieval from Linear Canonical Transforms	2
Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions	2
Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems	2
On a Gauss-Kummer Convergence Model	2
Algebras of Calderón-Zygmund Operators on RD Spaces	2
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions	2
An Approximation Problem in the Space of Bounded Operators	2
Frames and Dual Frames for Krein Spaces	2
Statistical Convergence of Sequences of Functions in Neutrosophic Normed Spaces	2
A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems	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
Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions	2
Foreword to Recent Developments in Inverse Problems – Dedicated to the 70th Birthday of Professor Bernd Hofmann	2
Quasi-Newton Method for Set Optimization Problems with Set-Valued Mapping Given by Finitely Many Vector-Valued Functions	1
On Absolute Matrix Summability of Factored Infinite Series and Fourier Series	1
Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure	1
Approximation Degree of Bivariate Generalized λ-Bernstein - Kantorovich Type Operators	1
On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains	1
Fixed Point Theorems in Generalized Banach Algebras and an Application to Infinite Systems in ????([0, 1], c₀) × ????([0, 1], c₀)	1
Two New Inertial Algorithms for Solving Variational Inequalities in Reflexive Banach Spaces	1
Matrix Transformation and Compactness onq-Catalan Sequence Spaces	1
On k -WUR and its generalizations	1
Further Seminorm and Numerical Radius Inequalities for Products and Sums of Operators	1
A Convexity Concept with Respect to a Pair of Functions	1
On the Eigenstructure of the Modified Bernstein Operators	1
A History-Dependent Inclusion with Applications in Contact Mechanics	1
CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications	1
Analysis of a Fitted Finite Difference Scheme for a Semilinear System of Singularly Perturbed Reaction-Diffusion Equations Having Discontinuous Source Term	1
The Closest Point Theorem in CAT _p (0) Metric Spaces	1
Rates of Convergence for Asymptotically Weakly Contractive Mappings in Normed Spaces	1
The Study of the Solvability of Infinite Systems of Integral Equations via Measures of Noncompactness	1
Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach	1
fgh -Convex Functions and Entropy Bounds	1
Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces	1
The Inexact Parallel Splitting Augmented Lagrangian Algorithm for Multistage Stochastic Variational Inequalities	1
Approximation by Max-Min Neural Network Operators	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
A Neural Network Approach for Solving Weighted Nonlinear Complementarity Problems	1
A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds	1
Asymptotic Behavior of Iterates of a Generic Cyclical Nonexpansive Mapping	1
Lagrange Duality and Saddle Point Optimality Conditions for Multiobjective Semi-Infinite Programming with Vanishing Constraints	1
Convergence Results for Nonlinear Sampling Kantorovich Operators in Modular Spaces	1
Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices	1
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
An Approximating Approach to an Optimal Control Problem for an Elliptic Variational Inequality on a Mixed Boundary^⋆	1
A New Boosted Proximal Point Algorithm for Minimizing Nonsmooth DC Functions	1
A Super Order Regularization Scheme in Hilbert Scales under General Smoothing Conditions	1