Convergence theorems for generalized nonexpansive multivalued mappings in hyperbolic spaces

Jong Kyu Kim, R. P. Pathak, Samir Dashputre, Shailesh Dhar Diwan, Rajlaxmi Gupta · SpringerPlus · 2016

In this paper, we establish the existence of a fixed point for generalized nonexpansive multivalued mappings in hyperbolic spaces and we prove some [Formula: see text]-convergence and strong convergence theorems for the iterative scheme proposed by Chang et al. (Appl Math Comp 249:535-540, 2014) to approximate a fixed point for generalized nonexpansive multivalued mapping under suitable conditions. Our results are the extension and improvements of the recent well-known results announced in the current literature.

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