Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces

Y Shehu - Applied Mathematics and Computation, 2014 - Elsevier
Our purpose in this paper is to prove strong convergence theorems for approximation of a
common zero of a finite family of maximal monotone operators which is also a fixed point for …

A strong convergence theorem for maximal monotone operators in Banach spaces with applications

CE Chidume, GS De Souza, OM Romanus… - Carpathian Journal of …, 2020 - JSTOR
An algorithm is constructed to approximate a zero of a maximal monotone operator in a
uniformly convex and uniformly smooth real Banach space. The sequence of the algorithm is …

Convergence theorems for right Bregman strongly nonexpansive mappings in reflexive Banach spaces

H Zegeye, N Shahzad - Abstract and Applied Analysis, 2014 - Wiley Online Library
We prove a strong convergence theorem for a common fixed point of a finite family of right
Bregman strongly nonexpansive mappings in the framework of real reflexive Banach …

Strong convergence for Bregman relatively nonexpansive mappings in reflexive Banach spaces and applications

J Zhao, S Wang - Nonlinear Functional Analysis and …, 2015 - nfaa.kyungnam.ac.kr
We study the convergence of two iterative algorithms for finding fixed points of a Bregman
relatively nonexpansive mapping in reflexive Banach spaces. We establish two strong …

Halpern-Mann's iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications

J Zhu, S Chang - Journal of Inequalities and Applications, 2013 - Springer
We investigate strong convergence for Bregman strongly nonexpansive mappings by
modifying Halpern and Mann's iterations in the framework of a reflexive Banach space. As …

[HTML][HTML] Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces

S Suantai, YJ Cho, P Cholamjiak - Computers & Mathematics with …, 2012 - Elsevier
We investigate strong convergence for Bregman strongly nonexpansive mappings by
Halpern's iteration in the framework of reflexive Banach spaces. Using the obtained result …

Iterative approximation of solutions of Hammerstein integral equations with maximal monotone operators in Banach spaces

M Uba, M Onyido, P Nwokoro - British Journal of Mathematics …, 2016 - ebooks.netkumar1.in
Let X be a uniformly convex and uniformly smooth real Banach space with dual space X*.
Let F: X→ X* and K: X*→ X be bounded maximal monotone mappings. Suppose the …

Approximating a zero of sum of two monotone operators which solves a fixed point problem in reflexive Banach spaces

FU Ogbuisi, C Izuchukwu - Numerical Functional Analysis and …, 2020 - Taylor & Francis
The purpose of this paper is to introduce an iterative method for approximating a point in the
set of zeros of the sum of two monotone mappings, which is also a solution of a fixed point …

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 …

Convergence theorems for Bregman strongly nonexpansive mappings in reflexive Banach spaces

H Zegeye - Filomat, 2014 - JSTOR
In this paper, we study a strong convergence theorem for a common fixed point of a finite
family of Bregman strongly nonexpansive mappings in the framework of reflexive real …