Gerghaty type results via simulation and $mathcal{C}$-class functions with application

Author(s):

Azhar Hussain , Muhammad Ishfaq , Tanzeela Kanwal , Stojan Radenovic

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper we study the notion of Gerghaty type contractive mapping via simulation function along with $mathcal{C}$-class functions and prove the existence of several fixed point results in ordinary and partially ordered metric spaces. An example is given to show the validity of our results given herein. Moreover, existence of solution of two-point boundary value second order nonlinear differential equation is obtain.

Keywords:

Simulation functions , C-class function , partially ordered metric space

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
1057 to 1071
https://www.magiran.com/p2261276