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Proximal point algorithms involving fixed points of nonexpansive mappings in CAT(0) spaces
Journal article   Open access  Peer reviewed

Proximal point algorithms involving fixed points of nonexpansive mappings in CAT(0) spaces

Prasit Cholamjiak, Afrah A. N. Abdou and Yeol Je Cho
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2015(1), pp.1-13
10/12/2015
DOI: https://doi.org/10.1186/s13663-015-0465-4

Abstract

DELTA-CONVERGENCE THEOREMS convex minimization problem CONVEX CAT space nonexpansive mapping proximal point algorithm MONOTONE-OPERATORS resolvent identity RIEMANNIAN-MANIFOLDS
In this paper, we introduce a new modified proximal point algorithm involving fixed point iterates of nonexpansive mappings in CAT(0) spaces and prove that the sequence generated by our iterative process converges to a minimizer of a convex function and a fixed point of mappings.
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https://doi.org/10.1186/s13663-015-0465-4View
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