Existence and Convergence of Fixed points of Generalized alpha non-expensive mappings in metric spaces

Abstract

We give certain conditions about different kinds of mappings. These conditions willbe median of non-expansive mappings and quasi-non-expansive mappings. We will establish somefixed point results of some generalized non-expansive mappings in metric spaces. Moreover, wewill also establish few existence and convergence results about generalization of non-expansivemappings. Finally, we present some useful lemmas and propositions.