OOIR: Observatory of International Research

Papers

(The TQCC of Numerical Functional Analysis and Optimization is 2. 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 2021-05-01 to 2025-05-01.)

Article	Citations
On the Type of Ill-Posedness of Generalized Hilbert Matrices and Related Operators	27
Q-duals and Q-approximate duals of g-frames in Hilbert spaces	22
Optimal Convergence of the Discrepancy Principle for Polynomially and Exponentially Ill-Posed Operators under White Noise	21
Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings^*	20
An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes	18
Composition of Euler Scaling Functions with the Optimization Method for Fractional Hyperbolic and Reaction-Diffusion Equations with Nonlocal Boundary Conditions	17
A Dynamical Splitting Method for Minimizing the Sum of Three Convex Functions	17
Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations	16
Weighted Composition Operators between the Bloch Type Space and the Hardy Space on the Unit Ball of Complex Banach Spaces	12
Tight wavelet frames on zero-dimensional groups. Construction and approximation	12
Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application	11
Existence Results for Integro-Differential Equations with Reflection	11
Optimality Conditions for Multiobjective Optimization Problems via Image Space Analysis	11
On Property- and Relative Chebyshev Centres in Banach Spaces	10
Stability Analysis for Semi-Infinite Vector Optimization Problems under Functional Perturbations	10
On some generalizations of Darbo- and Sadovskii- type fixed point theorems in Fréchet spaces	9
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	8
Forward and Backward Problems for Coupled Subdiffusion Systems	8
Nonsymmetric Algebraic Riccati Equations under the Tensor Product	8
Applications of Fell Topology to Closed Set-Valued Optimizations in Partially Ordered First Countable Topological Vector Spaces	7
A Wavelet Plancherel Theory with Application to Multipliers and Sparse Approximations	7
Exponential Sampling Type Kantorovich Max-Product Neural Network Operators	7
Fixed Point and Convergence Results for Nonexpansive Set-Valued Mappings	7
Combined Legendre Spectral-Finite Element Methods for Two-Dimensional Fredholm Integral Equations of the Second Kind	7

Properties of the Solution Set of a Class of Mixed Variational Inqualities	7
The Strongly Convergent Relaxed Alternating CQ Algorithms for the Split Equality Problem in Hilbert Spaces	6
Existence Results for State-Dependent Maximal Monotone Differential Inclusions: Fixed Point Approach	6
Data-Driven Morozov Regularization of Inverse Problems	6
A Stable and Convergent Hybridized Discontinuous Galerkin Method for Time-Fractional Telegraph Equations	6
Generalized Drazin Invertibility of Operator Matrices	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
On Approximation by Kantorovich Exponential Sampling Operators	5
A Modified Minimal Error Method for Solving Nonlinear Integral Equations via Multiscale Galerkin Methods	5
Average Sampling Theorems on Multidimensional Random Signals	5
Generalized Hybrid Viscosity-Type Forward-Backward Splitting Method with Application to Convex Minimization and Image Restoration Problems	5
Convergence and Semi-Convergence of a Class of Constrained Block Iterative Methods	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
Time-Frequency Analysis of Gabor Multipliers Associated with the Multidimensional Hankel-Stockwell Transform	4
Strong Convergence of Trajectories via Inertial Dynamics Combining Hessian-Driven Damping and Tikhonov Regularization for General Convex Minimizations	4
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems	4
Finding the Best Proximity Point of Generalized Multivalued Contractions with Applications	4
Multiplier Sequence Spaces Defined by Statistical Summability and Orlicz-Pettis Theorem	4
Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces	4
Bivariate Bernstein Chlodovsky Operators Preserving Exponential Functions and Their Convergence Properties	4
Two Singularity Subtraction Schemes for a Class of Nonlinear Weakly Singular Integral Equations	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
On the Modification of Mellin Convolution Operator and Its Associated Information Potential	4
Stability Radius of S-Quasimonotone Maps	3
Characterizations of Boundary Conditions on Some Non-Symmetric Cones	3
Estimating Solution Smoothness and Data Noise with Tikhonov Regularization	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
Continuous Generative Neural Networks: A Wavelet-Based Architecture in Function Spaces	3
Doob’s ω-Transform on Local Dirichlet Spaces	3
Some Results on Oblique Dual and Approximate Oblique Dual Hilbert-Schmidt Frames	3
Necessary and Sufficient Optimality Conditions for Non-regular Problems	3
Relatively Nonexpansive Mappings in k-Uniformly Convex Banach Spaces	3
On Diferential Inclusions Arising from Some Discontinuous Systems	3
On the Gamma Spaces Including the Spaces of Absolutelyp-Summable, Null, Convergent and Bounded Sequences	3
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
Characterizations and Perturbations of the Core-EP Inverse of Tensors Based on the T-Product	3
Global Well-Posedness in Set Optimization	2
Characterizations and Representations of H-S-Frames in Hilbert Spaces	2
Semigroups of Composition Operators on Vector-Valued Hardy Spaces	2
Rates of Convergence and Metastability for Chidume’s Algorithm for the Approximation of Zeros of Accretive Operators in Banach Spaces	2
Motzkin Sequence Spaces and Motzkin Core	2
Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints	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
Positive Definite Functions on Products via Fourier Transforms: Old and New	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
A New Existence Result of Equilibria for Vector Equilibrium Problems	2
Minimax Theorem for Two Set-Valued Mappings with Nonconvex Domains	2
An Approximation Problem in the Space of Bounded Operators	2
On a Gauss-Kummer Convergence Model	2
On Quasi-Inertial Double Extragradient-Type Iterations for Variational Inequalities with CFPP Constraint Involving Bregman Relatively Asymptotically Nonexpansive Mapping	2
Approximation of Periodic Functions of Bounded Variation by Some Positive Linear Operators	2
Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization	2
Existence Results for a 2nth-Order Differential Equation with Sturm-Liouville Operator	2
Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings	2
An Existence Theorem for Some Nonlinear Volterra-Fredholm Integral Equations in the Space of Continuous Tempered Functions	2
Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions	2
Approximation by α -Bernstein-Kantorovich Type Operators for Functions of One and Two Variables	2
Multidimensional Strongly Deferred Invariant Convergence	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
Algebras of Calderón-Zygmund Operators on RD Spaces	2
Regional Boundary Observability for Semilinear Fractional Systems with Riemann-Liouville Derivative	2
First-Order Conditions for the Optimal Control of Learning-Informed Nonsmooth PDEs	2
Time Optimal Control Problem of the 3D Navier-Stokes-α Equations	2
Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints	2
Phase Retrieval from Linear Canonical Transforms	2
On the Smoothness of the Solution of Fuzzy Volterra Integral Equations of the Second Kind with Weakly Singular Kernels	2
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions	2
Frames and Dual Frames for Krein Spaces	2
Statistical Convergence of Sequences of Functions in Neutrosophic Normed Spaces	2
Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems	2
Cyclic Meir-Keeler Contraction and Its Fractals	2