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Multidimensional Coincidence Point Results for Contraction Mapping Principle

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2019, v.26 no.4, pp.277-288
https://doi.org/10.7468/jksmeb.2019.26.4.277
Handa, Amrish

Abstract

The main objective of this article is to establish some coincidence point theorem for g-non-decreasing mappings under contraction mapping principle on a partially ordered metric space. Furthermore, we constitute multidimensional results as a simple consequences of our unidimensional coincidence point theorem. Our results improve and generalize various known results.

keywords
contraction mapping principle, coincidence point, g-non-decreasing mapping, partially ordered metric space, O-compatible

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics