Results 41 to 50 of about 2,787 (187)

A Tseng-type algorithm for approximating zeros of monotone inclusion and J-fixed-point problems with applications

Fixed Point Theory and Algorithms for Sciences and Engineering, 2023
In this paper, a Halpern–Tseng-type algorithm for approximating zeros of the sum of two monotone operators whose zeros are J -fixed points of relatively J -nonexpansive mappings is introduced and studied.
A. Adamu, P. Kumam, D. Kitkuan, A. Padcharoen   +3 more
semanticscholar   +1 more source

An Inexact Proximal-Type Method for the Generalized Variational Inequality in Banach Spaces

Journal of Inequalities and Applications, 2008
We investigate an inexact proximal-type method, applied to the generalized variational inequality problem with maximal monotone operator in reflexive Banach spaces.
J. C. Yao, G. Mastroeni, L. C. Ceng
doaj   +1 more source

A class of strongly convergent subgradient extragradient methods for solving quasimonotone variational inequalities

Demonstratio Mathematica, 2023
The primary goal of this research is to investigate the approximate numerical solution of variational inequalities using quasimonotone operators in infinite-dimensional real Hilbert spaces.
Rehman Habib ur, Kumam Poom, Ozdemir Murat, Yildirim Isa, Kumam Wiyada   +4 more
doaj   +1 more source

Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces

Fixed Point Theory and Applications, 2004
We first introduce an iterative sequence for finding fixed points of relatively nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized projection.
Wataru Takahashi, Shin-ya Matsushita
doaj   +2 more sources

On the proximal point algorithm and its Halpern-type variant for generalized monotone operators in Hilbert space

Optimization Letters, 2021
In a recent paper, Bauschke et al. study ρ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \
U. Kohlenbach
semanticscholar   +1 more source

Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems

Abstract and Applied Analysis, 2016
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators.
Teffera M. Asfaw
doaj   +1 more source

Nonlinear random operator equations and inequalities in Banach spaces

International Journal of Mathematics and Mathematical Sciences, 1992
In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also studied.
Antonios Karamolegos, Dimitrios Kravvaritis   +1 more
doaj   +1 more source

Relaxed Inertial Tseng’s Type Method for Solving the Inclusion Problem with Application to Image Restoration

Mathematics, 2020
The relaxed inertial Tseng-type method for solving the inclusion problem involving a maximally monotone mapping and a monotone mapping is proposed in this article.
Jamilu Abubakar, Poom Kumam, Abdulkarim Hassan Ibrahim, Anantachai Padcharoen   +3 more
doaj   +1 more source

The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2011
15 pages ...
openaire   +3 more sources

Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem

Advances in Nonlinear Analysis, 2019
The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.
Guibé Olivier, Mokrane A., Tahraoui Y., Vallet G.   +3 more
doaj   +1 more source