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Generalized (ξ,α)-expansive mappings and related fixed-point theorems

Research paper by Erdal Karapınar, Priya Shahi, Jatinderdeep Kaur, Satvinder Singh Bhatia

Indexed on: 14 Jan '14Published on: 14 Jan '14Published in: Journal of Inequalities and Applications



Abstract

In this paper, we introduce a new class of expansive mappings called generalized (ξ,α)-expansive mappings and investigate the existence of a fixed point for the mappings in this class. We conclude that several fixed-point theorems can be considered as a consequence of main results. Moreover, some examples are given to illustrate the usability of the obtained results.MSC:46T99, 54H25, 47H10, 54E50.