hree step iteration process for two multivalued nonexpansive maps in hyperbolic type spaces

Abstract

In this paper, a three step iteration process has been introduced for two multivalued nonexpansive maps in hyperbolic type spaces. Using this process, common fixed points of the two mappings have been approximated  through Δ- and strong convergence. A couple of examples have been provided to validate our main results. Our results generalize many reults of the contemporary literature. In particular, the results of <cite>abbas2013new</cite> are generalized from Banach to hyperbolic spaces, those of <cite>khan2014fixed</cite> from single-valued to multivalued maps in hyperbolic space, and those of <cite>khan2014common</cite> to three step iterative scheme in hyperbolic spaces.