[HTML][HTML] A General Picard-Mann Iterative Method for Approximating Fixed Points of Nonexpansive Mappings with Applications
Fixed point theory provides an important structure for the study of symmetry in mathematics.
In this article, a new iterative method (general Picard–Mann) to approximate fixed points of …
In this article, a new iterative method (general Picard–Mann) to approximate fixed points of …
[HTML][HTML] Composite iterative schemes for maximal monotone operators in reflexive Banach spaces
In this article, we introduce composite iterative schemes for finding a zero point of a finite
family of maximal monotone operators in a reflexive Banach space. Then, we prove strong …
family of maximal monotone operators in a reflexive Banach space. Then, we prove strong …
Strong convergence theorems for multivalued nonexpansive nonself-mappings in Banach spaces
JS Jung - Nonlinear Analysis: Theory, Methods & Applications, 2007 - Elsevier
Let E be a uniformly convex Banach space with a uniformly Gâteaux differentiable norm, C a
nonempty closed convex subset of E, and T: C→ K (E) a nonexpansive mapping. For u∈ C …
nonempty closed convex subset of E, and T: C→ K (E) a nonexpansive mapping. For u∈ C …
[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 …
Theory and Algorithms for Sciences and Engineering Skip to main content SpringerLink …
Strong convergence theorems by Halpern–Mann iterations for relatively nonexpansive mappings in Banach spaces
W Nilsrakoo, S Saejung - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, we modify Halpern and Mann's iterations for finding a fixed point of a relatively
nonexpansive mapping in a Banach space. Consequently, a strong convergence theorem …
nonexpansive mapping in a Banach space. Consequently, a strong convergence theorem …
Inertial methods for fixed point problems and zero point problems of the sum of two monotone mappings
The purpose of this paper is to investigate the problem of finding a common element of the
set of zero points of the sum of two operators and the fixed point set of a quasi-nonexpansive …
set of zero points of the sum of two operators and the fixed point set of a quasi-nonexpansive …
Convergence analysis of a monotone projection algorithm in reflexive Banach spaces
QIN Xiaolong, SY Cho - Acta Mathematica Scientia, 2017 - Elsevier
In this article, fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings
and equilibrium problems are investigated based on a monotone projection algorithm …
and equilibrium problems are investigated based on a monotone projection algorithm …
[HTML][HTML] On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces
J Tang, S Chang, L Wang, X Wang - Journal of Inequalities and …, 2015 - Springer
In this paper, we prove a weak convergence theorem and a strong convergence theorem for
split common fixed point problem involving a quasi-strict pseudo contractive mapping and …
split common fixed point problem involving a quasi-strict pseudo contractive mapping and …
Strong convergence theorems for zeros of bounded maximal monotone nonlinear operators
CE Chidume, N Djitte - Abstract and Applied Analysis, 2012 - Wiley Online Library
An iteration process studied by Chidume and Zegeye 2002 is proved to converge strongly to
a solution of the equation Au= 0 where A is a bounded maccretive operator on certain real …
a solution of the equation Au= 0 where A is a bounded maccretive operator on certain real …