Coincidence points for a pair of ordered $F$-contraction mappings in ordered partial metric spaces
Authors :
Santosh Kumar 1 *
Author Address :
1 Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania.
*Corresponding author.
Abstract :
The concept of ordered $F$-contraction in an ordered metric space was introduced by Durmaz et al. cite{Durmaz} and became a very important result in the existing metric fixed point theory. In this paper, we prove a fixed point theorem for a pair of compatible $F$-contraction maps in an ordered complete partial metric spaces. In particular, the main results generalize a fixed point theorem due to Durmaz et. al. cite{Durmaz} to partial metric spaces. An illustrative example is provided to support the theorem.
Keywords :
Ordered partial metric spaces, $F$-contraction mappings, coincidence points.
DOI :
Article Info :
Received : February 18, 2019; Accepted : June 12, 2019.
