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Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces
Journal article   Open access  Peer reviewed

Proximal Point Algorithms for Finding a Zero of a Finite Sum of Monotone Mappings in Banach Spaces

H. Zegeye and N. Shahzad
Abstract and applied analysis, Vol.2013, pp.1-7
01/01/2013
DOI: https://doi.org/10.1155/2013/232170

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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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https://doi.org/10.1155/2013/232170View
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