[PDF][PDF] Algorithmic and analytical approach to the proximal split feasibility problem and fixed point problem

TC Yin - Filomat, 2022 - doiserbia.nb.rs
In this paper, we investigate the proximal split feasibility algorithm and fixed point problem in
Hilbert spaces. We propose an iterative algorithm for finding a common element of the …

[PDF][PDF] An iterative approach to the solution of split variational inequalities

LJ Zhu, Z Zhu - Filomat, 2022 - doiserbia.nb.rs
In this paper, we investigate the split variational inequality problem in Hilbert spaces, in
which an operator is ϖ-inverse strongly ψ-monotone operator and another operator is …

Strong Convergence on the Aggregate ConstraintShifting Homotopy Method for Solving General Nonconvex Programming

Z Zhu, YC Liou - Journal of Mathematics, 2020 - Wiley Online Library
In the paper, the aggregate constraintshifting homotopy method for solving general
nonconvex nonlinear programming is considered. The aggregation is only about inequality …

Strong convergence results of split equilibrium problems and fixed point problems

LJ Zhu, HC Kuo, CF Wen - Journal of Mathematics, 2021 - Wiley Online Library
In this paper, we investigate the split equilibrium problem and fixed point problem in Hilbert
spaces. We propose an iterative scheme for solving such problem in which the involved …

Viscosity approximation method for solving variational inequality problem in real Banach spaces

G Ugwunnadi - Armenian Journal of Mathematics, 2021 - test.armjmath.sci.am
In this paper, we study the implicit and inertial-type viscosity approximation method for
approximating a solution to the hierarchical variational inequality problem. Under some mild …

Generalized Implicit Set-Valued Variational Inclusion Problem with⊕ Operation

R Ahmad, I Ali, S Husain, A Latif, CF Wen - Mathematics, 2019 - mdpi.com
In this paper, we consider a resolvent operator which depends on the composition of two
mappings with⊕ operation. We prove some of the properties of the resolvent operator, that …

[PDF][PDF] An iterative algorithm based on simpson methods for solving fixed point problem of nonexpansive mappings

L He, LJ Zhu, Y Fu - UNIVERSITY POLITEHNICA OF …, 2021 - scientificbulletin.upb.ro
Fixed point theory has been broadly applied in many areas such as convex optimization
problems, nonlinear analysis, equilibrium problems, operator theory, integral and differential …

General viscosity approximation methods for quasi-nonexpansive mappings with applications

X Liu, Z Chen, Y Xiao - Journal of Inequalities and Applications, 2019 - Springer
The purpose of this paper is to introduce and study the general viscosity approximation
methods for quasi-nonexpansive mappings in the setting of infinite-dimensional Hilbert …

[PDF][PDF] GRAPHICAL UNIFORM CONVEXITY, GRAPHICAL NORMAL STRUCTURE AND THE FIXED POINT PROPERTY OF GRAPHICAL METRIC SPACES

TC Yin, E Naraghirad - UNIVERSITY POLITEHNICA OF …, 2022 - scientificbulletin.upb.ro
In this paper we first introduce a new class of metric spaces called graphical uniformly
convex spaces and investigate that a graphical complete metric space (X, dG) has the fixed …

[PDF][PDF] AN ITERATIVE SCHEME FOR SOLVING FIXED POINT PROBLEM OF ASYMPTOTICALLY PSEUDOCONTRACTIVE OPERATORS AND VARIATIONAL …

H Shen, Y Chen, Z Yao - UNIVERSITY POLITEHNICA OF …, 2022 - scientificbulletin.upb.ro
Fixed point problems of asymptotically pseudocontractive operators and quasimonotone
variational inequalities have been considered in Hilbert spaces. An iterative scheme for …