New coincidence and common fixed point theorems

S.L. Singh; Apichai Hematulin; Rajendra Pant

doi:10.4995/agt.2009.1792

Authors

S.L. Singh
Apichai Hematulin Nakhonratchasima Rajabhat University
Rajendra Pant SRM University Modinagar

DOI:

https://doi.org/10.4995/agt.2009.1792

Keywords:

Coincidence point, Fixed point, Banach contraction, Quasi-contraction, Asymptotic regularity

Abstract

In this paper, we obtain some extensions and a generalization of a remarkable fixed point theorem of Proinov. Indeed, we obtain some coincidence and fixed point theorems for asymptotically regular non-self and self-maps without requiring continuity and relaxing the completeness of the space. Some useful examples and discussions are also given.

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Author Biography

Apichai Hematulin, Nakhonratchasima Rajabhat University

Department of Mathematics

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