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

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.

Saved in:
Bibliographic Details
Published in:Fixed point theory and applications (Hindawi Publishing Corporation) Vol. 2015; no. 1
Main Authors: Cholamjiak, Prasit, Abdou, Afrah AN, Cho, Yeol Je
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 10.12.2015
Subjects:
Analysis
Applications of Mathematics
Differential Geometry
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Recent Progress in Fixed Point Theory and Applications
Topology
47H10
convex minimization problem
47H09
nonexpansive mapping
space
proximal point algorithm
resolvent identity
ISSN:1687-1812, 1687-1812
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1687-1812
1687-1812
DOI:10.1186/s13663-015-0465-4