Existence of coincidence point for weakly increasing mappings satisfies (ψ, φ)-weakly contractive condition in partially ordered metric spaces
by Vishal Gupta; Raman Deep; Adesh Kumar Tripathi
International Journal of Computing Science and Mathematics (IJCSM), Vol. 7, No. 6, 2016

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.

Online publication date: Fri, 20-Jan-2017

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