New coincidence and common fixed point theorems

S.L. Singh, Apichai Hematulin, Rajendra Pant
DOI: https://doi.org/10.4995/agt.2009.1792

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.


Keywords

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

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