A strong convergence theorem for approximation of a zero of the sum of two maximal monotone mappings in Banach spaces

Getahun B. Wega, Habtu Zegeye

Research output: Contribution to journalArticle

Abstract

The purpose of this paper is to study the method of approximation for a zero of the sum of two maximal monotone mappings in Banach spaces and prove strong convergence of the proposed method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.

Original languageEnglish
Article number57
Number of pages24
JournalJournal of Fixed Point Theory and Applications
Volume22
Issue number3
DOIs
Publication statusPublished - Sep 1 2020

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Geometry and Topology
  • Applied Mathematics

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