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 …
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 …
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
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 …
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 …
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 …
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
We investigate strong convergence for Bregman strongly nonexpansive mappings by
Halpern's iteration in the framework of reflexive Banach spaces. Using the obtained result …
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
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 …
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 …
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 …
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 …
family of Bregman strongly nonexpansive mappings in the framework of reflexive real …
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