Some Contractive Mapping Theorems in Partially Ordered Metric Spaces and Application to Integral Equation

Authors

N. Seshagiri Rao, Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No.1888, Adama, EthiopiaFollow
K. Kalyani, Department of Mathematics,Vignan’s Foundation for Science, Technology & Research, Vadlamudi-522213, Andhra Pradesh, IndiaFollow
Mansour Lotayif, College of Administrative Sciences, Applied Science University, P.O. Box 5055, Building 166, East Al-Ekir, Kingdom of BahrainFollow

Abstract

The purpose of this paper is to establish some coincidence point results for nonlinear contractive mappings with monotone property in a complete partially ordered metric space. Also some consequences of the results in terms of integral contractions of the mappings and two examples to support the findings are presented. Furthermore, we provided an application of the result to acquire the unique solution of an integral equation.

Recommended Citation

Seshagiri Rao, N.; Kalyani, K.; and Lotayif, Mansour (2021) "Some Contractive Mapping Theorems in Partially Ordered Metric Spaces and Application to Integral Equation," Information Sciences Letters: Vol. 10 : Iss. 3 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol10/iss3/9