Goebel and Kirk fixed point theorem for multivalued asymptotically nonexpansive mappings
Mohamed A. Khamsi, Abdul Rahim Khan · Carpathian Journal of Mathematics · 2017
We introduce the concept of a multivalued asymptotically nonexpansive mapping and establish Goebel and Kirk fixed point theorem for these mappings in uniformly hyperbolic metric spaces. We also define a modified Mann iteration process for this class of mappings and obtain an extension of some well-known results for singlevalued mappings defined on linear as well as nonlinear domains.