Proximal point algorithms for finding a zero of a finite sum of monotone mappings in Banach spaces

H. Zegeye, N. Shahzad

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We introduce an iterative process which converges strongly to a zero of a finite sum of monotone mappings under certain conditions. Applications to a convex minimization problem are included. Our theorems improve and unify most of the results that have been proved in this direction for this important class of nonlinear mappings.

Original languageEnglish
Article number232170
JournalAbstract and Applied Analysis
Volume2013
DOIs
Publication statusPublished - Jun 12 2013

Fingerprint

Monotone Mapping
Proximal Point Algorithm
Convex Minimization
Nonlinear Mapping
Banach spaces
Iterative Process
Minimization Problem
Banach space
Converge
Zero
Theorem
Class

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

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Proximal point algorithms for finding a zero of a finite sum of monotone mappings in Banach spaces. / Zegeye, H.; Shahzad, N.

In: Abstract and Applied Analysis, Vol. 2013, 232170, 12.06.2013.

Research output: Contribution to journalArticle

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