New coincidence and common fixed point theorems

S.L. Singh

India

Apichai Hematulin

Thailand

Nakhonratchasima Rajabhat University

Department of Mathematics

Rajendra Pant

India

SRM University Modinagar

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Accepted: 2013-10-30

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DOI: https://doi.org/10.4995/agt.2009.1792
Funding Data

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Keywords:

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

Supporting agencies:

This research was not funded

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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