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

H. Zegeye, N. Shahzad

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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 spaces. Furthermore, we apply our method to approximate a common zero of a finite family of maximal monotone mappings and a solution of a finite family of convex feasibility problems in reflexive real Banach spaces. Our theorems complement some recent results that have been proved for this important class of nonlinear mappings.

Original languageEnglish
Article number584395
JournalAbstract and Applied Analysis
Volume2014
DOIs
Publication statusPublished - Jan 1 2014

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Reflexive Banach Space
Banach spaces
Nonexpansive Mapping
Convergence Theorem
Maximal Monotone Mapping
Convex Feasibility Problem
Nonlinear Mapping
Strong Theorems
Common Fixed Point
Strong Convergence
Complement
Banach space
Zero
Theorem
Family

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Convergence theorems for right bregman strongly nonexpansive mappings in reflexive Banach spaces. / Zegeye, H.; Shahzad, N.

In: Abstract and Applied Analysis, Vol. 2014, 584395, 01.01.2014.

Research output: Contribution to journalArticle

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