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

Li-Li Wan · Fixed Point Theory and Applications · 2015

Abstract In this paper, we prove some strong and △-convergence theorems for a finite family of multivalued quasi-nonexpansive mappings satisfying condition $(E)$ ( E ) in $\operatorname{CAT}(\kappa)$ CAT ( κ ) 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.

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