Coincidences of Lipschitz-Type Hybrid Maps and Invariant Approximation

Author: Khan A. R.  

Publisher: Taylor & Francis Ltd

ISSN: 0163-0563

Source: Numerical Functional Analysis and Optimization, Vol.28, Iss.9-10, 2007-09, pp. : 1165-1177

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Abstract

The aim of this paper is to obtain new coincidence and common fixed point theorems by using Lipschitz-type conditions of hybrid maps (not necessarily continuous) on a metric space. As applications, we demonstrate the existence of common fixed points from the set of best approximations. Our work sets analogues, unifies and improves various known results existing in the literature.