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
Link To Document :
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