New coincidence and common fixed point theorems
Submitted: 2013-10-30
|Accepted: 2013-10-30
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Keywords:
Coincidence point, Fixed point, Banach contraction, Quasi-contraction, Asymptotic regularity
Supporting agencies:
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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