Title of article
Gerghaty type results via simulation and C-class functions with application
Author/Authors
Hussain, Azhar Department of Mathematics - University of Sargodha, Sargodha, Pakistan. , Ishfaq, Muhammad Department of Mathematics - University of Sargodha, Sargodha, Pakistan , Kanwala, Tanzeela Department of Mathematics - University of Sargodha, Sargodha, Pakistan , Radenovic, Stojan Department of Mathematics - University of Sargodha, Sargodha, Pakistan
Pages
15
From page
1057
To page
1071
Abstract
In this paper we study the notion of Gerghaty type contractive mapping via simulation function along with 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 , mathcalC-class function , partially ordered metric space
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2607772
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