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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Fixed point theory and applications (Hindawi Publishing Corporation) Jg. 2015; H. 1
Hauptverfasser: Cholamjiak, Prasit, Abdou, Afrah AN, Cho, Yeol Je
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cham Springer International Publishing 10.12.2015
Schlagworte:
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-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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