On Noor-type iteration schemes for multivalued mappings in $\operatorname{CAT}(0)$ spaces
R. P. Pathak, Samir Dashputre, Shailesh Dhar Diwan, Rajlaxmi Gupta · Fixed Point Theory and Applications · 2015
Abstract In this paper, we prove strong convergence theorems for Noor-type iteration schemes involving quasi-nonexpansive multivalued mappings in the framework of $\operatorname{CAT}(0)$ CAT ( 0 ) spaces. The results we obtain are generalizations of Panyanak (Nonlinear Anal. 70:1547-1556, 2009), Sastry and Babu (Czechoslov. Math. J. 55:817-826, 2005), Shazhad and Zegeye (Nonlinear Anal. 71:838-844, 2009), Song and Wang (Comput. Math. Appl. 55:2999-3002, 2008; Nonlinear Anal. 70:1547-1556, 2009) and many others in the sense of Noor-type iteration process in the setting of $\operatorname{CAT}(0)$ CAT ( 0 ) spaces.