Goebel and Kirk fixed point theorem for multivalued asymptotically nonexpansive mappings

Khamsi, M. A. and Khan, A. R.



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.

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Khamsi, M. A., Khan, Abdul Rahim