Results 41 to 50 of about 48,008 (296)

Existence of Fixed Points of Firmly Nonexpansive-Like Mappings in Banach Spaces

Fixed Point Theory and Applications, 2010
The aim of this paper is to obtain some existence theorems related to a hybrid projection method and a hybrid shrinking projection method for firmly nonexpansive-like mappings (mappings of type (P)) in a Banach space.
Fumiaki Kohsaka, Koji Aoyama
doaj   +2 more sources

Examining the Hermite–Hadamard Inequalities for k-Fractional Operators Using the Green Function

Fractal and Fractional, 2023
For k-Riemann–Liouville fractional integral operators, the Hermite–Hadamard inequality is already well-known in the literature. In this regard, this paper presents the Hermite–Hadamard inequalities for k-Riemann–Liouville fractional integral operators by
Çetin Yildiz, Luminiţa-Ioana Cotîrlă
doaj   +1 more source

Closedness type regularity conditions for surjectivity results involving the sum of two maximal monotone operators

, 2010
In this note we provide regularity conditions of closedness type which guarantee some surjectivity results concerning the sum of two maximal monotone operators by using representative functions.
A. Moudafi, A. Moudafi, C. Zăalinescu, C. Zălinescu, H. Attouch, H. Attouch, J.-E. Martínez-Legaz, J.M. Borwein, M. Marques Alves, R.I. Boţ, R.I. Boţ, R.I. Boţ, R.T. Rockafellar, Radu Ioan Boţ, S. Bartz, S. Simons, Sorin-Mihai Grad   +16 more
core   +1 more source

A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function

Axioms, 2023
This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements of many inequalities. By setting values of
Ghulam Farid, Hafsa Tariq, Ferdous M. O. Tawfiq, Jong-Suk Ro, Saira Zainab   +4 more
doaj   +1 more source

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

Maximality of the sum of a maximally monotone linear relation and a maximally monotone operator

, 2012
The most famous open problem in Monotone Operator Theory concerns the maximal monotonicity of the sum of two maximally monotone operators provided that Rockafellar's constraint qualification holds. In this paper, we prove the maximal monotonicity of $A+
Borwein, Jonathan M., Yao, Liangjin
core   +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