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 2021-06-01 to 2025-06-01.)

Article	Citations
Q-duals and Q-approximate duals of g-frames in Hilbert spaces	28
Optimal Convergence of the Discrepancy Principle for Polynomially and Exponentially Ill-Posed Operators under White Noise	23
Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings^*	22
On the Type of Ill-Posedness of Generalized Hilbert Matrices and Related Operators	20
An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes	19
A Dynamical Splitting Method for Minimizing the Sum of Three Convex Functions	18
Composition of Euler Scaling Functions with the Optimization Method for Fractional Hyperbolic and Reaction-Diffusion Equations with Nonlocal Boundary Conditions	17
Tight wavelet frames on zero-dimensional groups. Construction and approximation	16
Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces	14
Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis	13
Existence Results for Integro-Differential Equations with Reflection	13
Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application	12
On Property- and Relative Chebyshev Centres in Banach Spaces	12
Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations	11
Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints	10
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
Properties of the Solution Set of a Class of Mixed Variational Inqualities	8
A Wavelet Plancherel Theory with Application to Multipliers and Sparse Approximations	8
Fixed Point and Convergence Results for Nonexpansive Set-Valued Mappings	8
Data-Driven Morozov Regularization of Inverse Problems	7
On some generalizations of Darbo- and Sadovskii- type fixed point theorems in Fréchet spaces	7
The Strongly Convergent Relaxed Alternating CQ Algorithms for the Split Equality Problem in Hilbert Spaces	7
Nonsymmetric Algebraic Riccati Equations under the Tensor Product	7
Applications of Fell Topology to Closed Set-Valued Optimizations in Partially Ordered First Countable Topological Vector Spaces	7

Exponential Sampling Type Kantorovich Max-Product Neural Network Operators	7
Generalized Drazin Invertibility of Operator Matrices	6
Generalized Hybrid Viscosity-Type Forward-Backward Splitting Method with Application to Convex Minimization and Image Restoration Problems	6
Existence Results for State-Dependent Maximal Monotone Differential Inclusions: Fixed Point Approach	6
Combined Legendre Spectral-Finite Element Methods for Two-Dimensional Fredholm Integral Equations of the Second Kind	6
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
A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations	5
A Modified Minimal Error Method for Solving Nonlinear Integral Equations via Multiscale Galerkin Methods	5
Average Sampling Theorems on Multidimensional Random Signals	5
On Approximation by Kantorovich Exponential Sampling Operators	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
Generalized Riccati Operator Equations, Invariant Subspaces and Toeplitz Corona Problem	4
Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem	4
On the Modification of Mellin Convolution Operator and Its Associated Information Potential	4
Convergence and Semi-Convergence of a Class of Constrained Block Iterative Methods	4
Strong Convergence of Trajectories via Inertial Dynamics Combining Hessian-Driven Damping and Tikhonov Regularization for General Convex Minimizations	4
Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations	4
An Analytic and Numerical Analysis of Weighted Singular Cauchy Integrals with Exponential Weights on ℝ	4
Time-Frequency Analysis of Gabor Multipliers Associated with the Multidimensional Hankel-Stockwell Transform	4
Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications	4
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems	4
Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces	4
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
Necessary and Sufficient Optimality Conditions for Non-regular Problems	3
Doob’s ω-Transform on Local Dirichlet Spaces	3
On the Gamma Spaces Including the Spaces of Absolutelyp-Summable, Null, Convergent and Bounded Sequences	3
On Diferential Inclusions Arising from Some Discontinuous Systems	3
Estimating Solution Smoothness and Data Noise with Tikhonov Regularization	3
Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties	3
Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product	3
Relatively Nonexpansive Mappings in k-Uniformly Convex Banach Spaces	3
Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces	3
Stability Radius of S-Quasimonotone Maps	3
Some Results on Oblique Dual and Approximate Oblique Dual Hilbert-Schmidt Frames	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
Positive Definite Functions on Products via Fourier Transforms: Old and New	3
Characterizations of Boundary Conditions on Some Non-Symmetric Cones	3
Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces	3
Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems	2
The Complete Solution of the Construction Problem of Infinite Frames with Given Redundancy	2
Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions	2
Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions	2
Minimax Theorem for Two Set-Valued Mappings with Nonconvex Domains	2
Algebras of Calderón-Zygmund Operators on RD Spaces	2
First-Order Conditions for the Optimal Control of Learning-Informed Nonsmooth PDEs	2
Semigroups of Composition Operators on Vector-Valued Hardy Spaces	2

Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints	2
Frames and Dual Frames for Krein Spaces	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
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
Multidimensional Strongly Deferred Invariant Convergence	2
On a Gauss-Kummer Convergence Model	2
Global Well-Posedness in Set Optimization	2
Characterizations and Representations of H-S-Frames in Hilbert Spaces	2
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
Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints	2
Approximation of Periodic Functions of Bounded Variation by Some Positive Linear Operators	2
Phase Retrieval from Linear Canonical Transforms	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
Statistical Convergence of Sequences of Functions in Neutrosophic Normed Spaces	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
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
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions	2
Cyclic Meir-Keeler Contraction and Its Fractals	2
Time Optimal Control Problem of the 3D Navier-Stokes-α Equations	2
Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings	2
Motzkin Sequence Spaces and Motzkin Core	2
Matrix Transformation and Compactness onq-Catalan Sequence Spaces	1
Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach	1
On Minimax Fractional Semi-Infinite Programming Problems with Applications	1
On Absolute Matrix Summability of Factored Infinite Series and Fourier Series	1
On the Eigenstructure of the Modified Bernstein Operators	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
Two New Inertial Algorithms for Solving Variational Inequalities in Reflexive Banach Spaces	1
KW-Type Nonlinear Contractions and Their Best Proximity Points	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
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 Super Order Regularization Scheme in Hilbert Scales under General Smoothing Conditions	1
Rates of Convergence for Asymptotically Weakly Contractive Mappings in Normed Spaces	1
An Approximating Approach to an Optimal Control Problem for an Elliptic Variational Inequality on a Mixed Boundary^⋆	1
fgh -Convex Functions and Entropy Bounds	1
A Convexity Concept with Respect to a Pair of Functions	1
A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds	1
Approximation by Max-Min Neural Network Operators	1
A New Boosted Proximal Point Algorithm for Minimizing Nonsmooth DC Functions	1
On σ-Subdifferential Polarity and Fréchet σ-Subdifferential	1
Some Fixed Point Results for Commuting Families of Mappings in Modular Spaces	1
On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains	1
Approximation Degree of Bivariate Generalized λ-Bernstein - Kantorovich Type Operators	1
Incremental Quasi-Subgradient Method for Minimizing Sum of Geodesic Quasi-Convex Functions on Riemannian Manifolds with Applications	1
Fixed Point Theorems in Generalized Banach Algebras and an Application to Infinite Systems in ????([0, 1], c₀) × ????([0, 1], c₀)	1
CUR and Generalized CUR Decompositions of Quaternion Matrices and their Applications	1
Further Hilbert-Schmidt Numerical Radius Inequalities for 2 × 2 Operator Matrices	1
Convergence of Iterates of α-Bernstein Type Operators via Fixed Point of Generalized JS-Contraction Type Mappings	1
On k -WUR and its generalizations	1
Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces	1
Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure	1
Relatively Monotone and Relatively Generalized Monotone Maps in Nonsmooth Setting and Relative r-Monotonicity	1
A semi-alternating algorithm for solving nonconvex split equality problems	1
Random Sampling and Reconstruction of Sparse Time- and Band-Limited Signals	1
A Neural Network Approach for Solving Weighted Nonlinear Complementarity Problems	1
The Inexact Parallel Splitting Augmented Lagrangian Algorithm for Multistage Stochastic Variational Inequalities	1
Convergence of an Inertial Shadow Douglas-Rachford Splitting Algorithm for Monotone Inclusions	1