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Coincidences of Lipschitz-Type Hybrid Maps and Invariant Approximation
Journal article   Peer reviewed

Coincidences of Lipschitz-Type Hybrid Maps and Invariant Approximation

A. R. Khan, A. A. Domlo and N. Hussain
Numerical functional analysis and optimization, Vol.28(9-10), pp.1165-1177
02/10/2007
DOI: https://doi.org/10.1080/01630560701563859

Abstract

Best approximation Coincidence point Common fixed point Eigenvalue Lipschitz condition Metric space Primary 47H10, 47A75, 41A65 Secondary 54H25 Weak commutativity Weakly compatible maps
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.

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