A new projection and contraction method for solving split monotone variational inclusion, pseudomonotone variational inequality, and common fixed point problems

TO Alakoya, VA Uzor, OT Mewomo - Computational and Applied …, 2023 - Springer
Several authors have studied and proposed different iterative methods for approximating a
common solution of variational inequality problem and other optimization problems. In …

Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems

GN Ogwo, TO Alakoya, OT Mewomo - Optimization, 2023 - Taylor & Francis
In this paper, we propose and study new inertial viscosity Tseng's extragradient algorithms
with self-adaptive step size to solve the variational inequality problem (VIP) and the fixed …

AN INERTIAL ALGORITHM WITH A SELF-ADAPTIVE STEP SIZE FOR A SPLIT EQUILIBRIUM PROBLEM AND A FIXED POINT PROBLEM OF AN INFINITE FAMILY …

TO Alakoya, ASOE Owolabi… - Journal of Nonlinear & …, 2021 - search.ebscohost.com
In this paper, we study a split equilibrium problem and a fixed point problem with an infinite
family of strict pseudo-contractive mappings. We introduce a new inertial iterative scheme …

[PDF][PDF] Inertial algorithm for solving equilibrium, variational inclusion and fixed point problems for an infinite family of strict pseudocontractive mappings

MA Olona, TO Alakoya, AOE Owolabi… - Demonstr …, 2021 - researchgate.net
In this paper we study the problem of finding common solutions of Equilibrium Problem (EP),
Variational Inclusion Problem (VIP) and Fixed Point Problem (FPP) for an infinite family of …

[PDF][PDF] Iterative approximation of fixed point problems and variational inequality problems on Hadamard manifolds

HM He, JG Peng, HY Li - UPB Bull. Ser. A, 2022 - scientificbulletin.upb.ro
In this paper, we propose a new iterative algorithm for finding the common solution of the
fixed points of nonexpansive mapping and the solution of the pseudomonotone variational …

[HTML][HTML] Strong convergence of a splitting algorithm for treating monotone operators

SY Cho, X Qin, L Wang - Fixed Point Theory and Applications, 2014 - Springer
Strong convergence of a splitting algorithm for treating monotone operators | Fixed Point
Theory and Algorithms for Sciences and Engineering Skip to main content SpringerLink …

Approximation of common solutions of variational inequalities via strict pseudocontractions

SY Cho, SM Kang - Acta Mathematica Scientia, 2012 - Elsevier
In this paper, a convex feasibility problem is considered. We construct an iterative method to
approximate a common element of the solution set of classical variational inequalities and of …

[图书][B] Fixed points of nonlinear operators: Iterative methods

H Zhou, X Qin - 2020 - books.google.com
Iterative Methods for Fixed Points of Nonlinear Operators offers an introduction into iterative
methods of fixed points for nonexpansive mappings, pseudo-contrations in Hilbert Spaces …

[HTML][HTML] Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems

LC Ceng, Q Yuan - Journal of Inequalities and Applications, 2019 - Springer
In this paper, we introduce and investigate composite inertial gradient-based algorithms with
a line-search process for solving a variational inequality problem (VIP) with a …

[PDF][PDF] A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem

F Cianciaruso, G Marino, L Muglia, Y Yao - Fixed Point Theory and …, 2009 - Springer
We propose a modified hybrid projection algorithm to approximate a common fixed point of a-
strict pseudocontraction and of two sequences of nonexpansive mappings. We prove a …