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

H. Zegeye; N. Shahzad

doi:10.1155/2013/232170

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

H. Zegeye
, N. Shahzad

Mathematics & Statistical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (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 language	English
Article number	232170
Journal	Abstract and Applied Analysis
Volume	2013
DOIs	https://doi.org/10.1155/2013/232170
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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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.",

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

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