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 2021-06-01 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
On Property- and Relative Chebyshev Centres in Banach Spaces	12
Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application	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
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
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
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
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
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
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
Semigroups of Composition Operators on Vector-Valued Hardy Spaces	2
Korneichuk-Stechkin Lemma, Ostrowski and Landau Inequalities, and Optimal Recovery Problems for L-Space Valued Functions	2
Frames and Dual Frames for Krein Spaces	2
An Approximation Problem in the Space of Bounded Operators	2
Existence Results for a 2nth-Order Differential Equation with Sturm-Liouville Operator	2
On Quasi-Inertial Double Extragradient-Type Iterations for Variational Inequalities with CFPP Constraint Involving Bregman Relatively Asymptotically Nonexpansive Mapping	2
An Existence Theorem for Some Nonlinear Volterra-Fredholm Integral Equations in the Space of Continuous Tempered Functions	2
Cyclic Meir-Keeler Contraction and Its Fractals	2

A New Existence Result of Equilibria for Vector Equilibrium Problems	2
Variational Inequalities Over the Intersection of Fixed Point Sets of Generalized Demimetric Mappings and Zero Point Sets of Maximal Monotone Mappings	2
Approximation by α -Bernstein-Kantorovich Type Operators for Functions of One and Two Variables	2
Multidimensional Strongly Deferred Invariant Convergence	2
Regional Boundary Observability for Semilinear Fractional Systems with Riemann-Liouville Derivative	2
Minimax Theorem for Two Set-Valued Mappings with Nonconvex Domains	2
Approximation of Periodic Functions of Bounded Variation by Some Positive Linear Operators	2
Algebras of Calderón-Zygmund Operators on RD Spaces	2
Phase Retrieval from Linear Canonical Transforms	2
First-Order Conditions for the Optimal Control of Learning-Informed Nonsmooth PDEs	2
A Variational and Regularization Framework for Stable Strong Solutions of Nonlinear Boundary Value Problems	2
Regularity of Multipliers and Second-Order Optimality Conditions for Semilinear Parabolic Optimal Control Problems with Mixed Pointwise Constraints	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
Approximation by Sampling Durrmeyer Operators in Weighted Space of Functions	2
On a Gauss-Kummer Convergence Model	2
Time Optimal Control Problem of the 3D Navier-Stokes-α Equations	2
Global Well-Posedness in Set Optimization	2
Motzkin Sequence Spaces and Motzkin Core	2
Characterizations and Representations of H-S-Frames in Hilbert Spaces	2
Nonsmooth Constraint Qualifications for Nonconvex Inequality Systems	2
Dualization and Automatic Distributed Parameter Selection of Total Generalized Variation via Bilevel Optimization	2
The Complete Solution of the Construction Problem of Infinite Frames with Given Redundancy	2
Analyzing a Maximum Principle for Finite Horizon State Constrained Problems via Parametric Examples. Part 2: Problems with Bilateral State Constraints	2
Finite Spectrum of 2nth Order Boundary Value Problems with Transmission Conditions	2
Uniqueness of STFT Phase Retrieval for Bandlimited Vector Functions	2