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

H. Zegeye, N. Shahzad

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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

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All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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