On fixed point theorems of monotone functions in Ordered metric spaces

Autor: Kalyani, K., Seshagiri Rao, N., Mitiku, Belay
Zdroj: The Journal of Analysis; December 2021, Vol. 29 Issue: 4 p1237-1250, 14p
Abstrakt: The purpose of this paper is to establish some coincidence point results for f-nondecreasing self-mapping satisfying certain rational type contractions in the frame work of a metric space endowed with partial order. Some consequences of the main result are given by involving integral type contractions in the space. Some examples are illustrated to support our results. Further, as an application we prove the existence of a unique solution of integral equation by the method of upper and lower solutions.
Databáze: Supplemental Index