Title of article :
A COUPLED FIXED POINT RESULT IN PARTIALLY ORDERED PARTIAL METRIC SPACES THROUGH IMPLICIT FUNCTION
Author/Authors :
Gulyaz, Selma Cumhuriyet University - Department of Mathematics, Turkey , Karapınar, Erdal Atilim University - Department of Mathematics, Turkey
Abstract :
In this manuscript, we discuss the existence of coupled fixed points in the context of partially ordered metric spaces through implicit relations for mappings F : X × X right arrow X such that F has the mixed monotone property. Our main theorem improves and extends various results in the literature. We also state an example to illustrate our work.
Keywords :
Coupled fixed point , Mixed monotone property , Implicit relation , Ordered partial metric space
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics