Title: Existence of coincidence point for weakly increasing mappings satisfies (ψ, φ)-weakly contractive condition in partially ordered metric spaces

Authors: Vishal Gupta; Raman Deep; Adesh Kumar Tripathi

Addresses: Department of Mathematics, Maharishi Markandeshwar University, Mullana, Ambala, Haryana, India ' Department of Mathematics, Maharishi Markandeshwar University, Mullana, Ambala, Haryana, India ' Department of Mathematics, Maharishi Markandeshwar University, Mullana, Ambala, Haryana, India

Abstract: Nashine and Samet (2011) showed some common fixed point theorems for two mappings satisfying (ψ, φ) weakly contractive condition in an ordered complete metric space. Further, this result was extended by Shatanawi and Samet (2011) to three mappings S, T and R satisfying weakly contractive condition in partially ordered metric spaces in which S, T were assumed to be weakly increasing with respect to R. In the present paper, we define weakly increasing mapping for four self maps and then implant it to prove the coincidence point theorem satisfying a generalised contractive principle.

Keywords: partial ordering; control functions; weak contractive inequality; coincidence point; weakly increasing mappings; metric spaces; fixed point theorems.

DOI: 10.1504/IJCSM.2016.081678

International Journal of Computing Science and Mathematics, 2016 Vol.7 No.6, pp.495 - 508

Accepted: 10 Jun 2015
Published online: 20 Jan 2017 *

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