Title

Nonexpansive retracts and weak compatible pairs in metric Spaces

Publication Date

6-20-2012

Document Type

Article

Comments

Hussain, N., Jungck, G. & Khamsi, M. Fixed Point Theory Appl (2012) 2012: 100. https://doi.org/10.1186/1687-1812-2012-100

Abstract

In this article, we introduce a new approach to common fixed point theory for a weak compatible pair. We first introduce the concepts of R-pair and NR-pair and establish some new common fixed point theorems for a weak compatible pair in hyperconvex metric spaces and uniformly convex metric spaces. We shall also establish the well-known De Marr's theorem for a family of weak compatible pairs in a hyperconvex metric space [0,1] and show by an example that it fails to hold in general hyperconvex metric spaces.

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