Title of article :
Relation theoretic results via simulation function with applications
Author/Authors :
Antal, Swati Department of Mathematics - H. N. B. Garhwal University - BGR Campus Pauri Garhwal, Uttarakhand, India , Tomar, Anita Goverment Degree College Thatyur (Tehri Garhwal) Uttarakhand, India , Gairola, U.C. Department of Mathematics - H.N.B. Garhwal university - Pauri Campus, Uttarakhand
Abstract :
We introduce '{C}iri'{c} type ZR-contraction to investigate the existence of single fixed point under a binary relation. In the sequel we demonstrate that variety of contractions are obtained as consequences of our contraction. Also we provide illustrative examples to demonstrate the significance of '{C}iri'{c} type ZR-contraction in the existence of fixed point for discontinuous map via binary relation. The paper is concluded by applications to solve an integral equation and a nonlinear matrix equation.
Keywords :
Binary relation , transitive relation , '{C}iri'{c} type mathcalZmathcalR-contraction , mathcalR - continuity
Journal title :
International Journal of Nonlinear Analysis and Applications
