Goebel and Kirk fixed point theorem for multivalued asymptotically nonexpansive mappings


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


Abstract

carpathian_2017_33_3_335_342_abstract

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.

Additional Information

Author(s)

Khan, Abdul Rahim, Khamsi, M. A.