A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function

Authors : Selma GÜLYAZ, Erdal KARAPINAR

Pages : 347-357

View : 13 | Download : 5

Publication Date : 2013-04-01

Article Type : Other Papers

Abstract :In this manuscript, we discuss the existence of coupled fixed points inthe context of partially ordered metric spaces through implicit relationsfor mappings F : X× X → X such that F has the mixed monotoneproperty. Our main theorem improves and extends various results inthe literature. We also state an example to illustrate our work.
Keywords : Coupled fixed point, Mixed monotone property, Implicit relation, Orderedpartial metric space2000