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Iterative Algorithms for a System of Variational Inclusions Involving Set-Valued Quasi-Contractive Mappings in Banach Spaces

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021; 42 (8)

In this paper, a new system of variational inclusions involving set-valued quasi-contractive, lower semi-continuous mappings with nonempty closed and ......

An improvement on the global error bound estimation for ELCP and its applications

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021; 42 (6)

For the extended linear complementarity problem (ELCP), we establish a global error bound estimation for ELCP under milder condition. Based on this, w......

Existence and Iterative Approximation of Hybrid Best Proximity Points for Set-Valued Mappings*

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021; 42 (8)

In this paper, hybrid best proximity points for a class of proximally mixed monotone set-valued mappings are discussed. In order to get rid of the fet......

The Strongly Convergent Relaxed Alternating CQ Algorithms for the Split Equality Problem in Hilbert Spaces

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021; 42 (8)

Recently, Moudafi introduced the split equality problem (SEP): find x is an element of C,y is an element of Q such that Ax = By. In this paper, we sho......

Best Proximity Point Results for Contractive and Cyclic Contractive Type Mappings

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021; 42 (7)

The essential importance of the best proximity point theory is that "best proximity point theory" appears in the coincidence of "metric fixed point th......

Richardson Extrapolation Method on an Adaptive Grid for Singularly Perturbed Volterra Integro-Differential Equations

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021; 42 (7)

In this paper, an adaptive grid method for singularly perturbed Volterra integro-differential equations exhibiting a boundary layer is studied. At fir......

Well-Posedness and Approximation for Nonhomogeneous Fractional Differential Equations

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, ; ()

In this paper, we consider the well-posedness and approximation for nonhomogeneous fractional differential equations in Banach spaces E. Firstly, we g......

Approximation Theorems for Localized Baskakov Operators

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, ; ()

We investigate the relation between the convergence of the localized Baskakov operators and the number of their terms N + 1. We obtain the limit funct......

Some New Results of Weaving K-Frames in Hilbert Spaces

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, ; ()

In this article, we first provide some sufficient conditions, and necessary and sufficient conditions for K-woven frames to be preserved under a bound......

Convergence Analysis for Variational Inclusion Problems Equilibrium Problems and Fixed Point in Hadamard Manifolds

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, ; ()

The purpose of this paper is to introduce a new splitting iterative algorithm for finding a common solution of a system of quasi-variational inclusion......

Sequence Convergence of Inexact Nonconvex and Nonsmooth Algorithms with More Realistic Assumptions

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021; 42 (2)

The sequence convergence of inexact nonconvex and nonsmooth algorithms is proved with an unrealistic assumption on the noise. In this paper, we focus ......

Characterizing the Solution Set for Nonconvex Semi-Infinite Programs Involving Tangential Subdifferentials

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2021; 42 (3)

The purpose of this paper is to study the characterization of the solution set for nonconvex semi-infinite programming problems related to tangential ......

Operators with Property (E) as Concerns Numerical Analysis and Visualization

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020; 41 (11)

In this paper, we study a Thakur three-step iterative process in the new context of generalized nonexpansive mappings enriched with property (E). A un......

Intertwining Operators between Two Orthogonal Projections

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020; 41 (14)

Let P and Q be a pair of orthogonal projections. In this note we will prove that there exists a unitary U is an element of B(H) such that UP = QU and ......

A Note on Perturbation Estimations for Spectral Projectors

期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2020; 41 (14)

For any singular matrix A is an element of C-nxn, let A(D), A(pi) = I-n-AA(D) be its Drazin inverse and spectral projector, respectively. Let parallel......

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