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Citation - WoS: 22
Citation - Scopus: 23
A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function
(Hacettepe Univ, Fac Sci, 2013) Gulyaz, Selma; Karapinar, Erdal; Mathematics
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 X -> 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.
Citation - WoS: 32
Citation - Scopus: 45
Fixed Point Theorems for a Class of Α-Admissible Contractions and Applications To Boundary Value Problem
(Hindawi Publishing Corporation, 2014) Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M.
A class of alpha-admissible contractions defined via altering distance functions is introduced. The existence and uniqueness conditions for fixed points of such maps on complete metric spaces are investigated and related fixed point theorems are presented. The results are reconsidered in the context of partially ordered metric spaces and applied to boundary value problems for differential equations with periodic boundary conditions.