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Some convergence results for multivalued quasi-nonexpansive mappings in $\operatorname{CAT}(\kappa)$ spaces.

Authors :
Wan, Li-Li
Source :
Fixed Point Theory & Applications. 9/28/2015, Vol. 2015 Issue 1, p1-11. 11p.
Publication Year :
2015

Abstract

In this paper, we prove some strong and △-convergence theorems for a finite family of multivalued quasi-nonexpansive mappings satisfying condition $(E)$ in $\operatorname{CAT}(\kappa)$ spaces. Our results extend the corresponding results of Abkar and Eslamian (Nonlinear Anal. 75:1895-1903, 2012), Panyanak (Fixed Point Theory Appl. 2014:1, 2014), Shahzad and Zegeye (Nonlinear Anal. 71:838-844, 2009) and many others. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16871820
Volume :
2015
Issue :
1
Database :
Academic Search Index
Journal :
Fixed Point Theory & Applications
Publication Type :
Academic Journal
Accession number :
109966263
Full Text :
https://doi.org/10.1186/s13663-014-0251-8