Browsing by Author "Gulyaz, Selma"
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A coupled coincidence point theorem in partially ordered metric spaces with an implicit relation
Gulyaz, Selma; Karapinar, Erdal; Yuce, Ilker Savas (SPRINGER INTERNATIONAL PUBLISHING AG, 2013)In this manuscript, we discuss the existence of a coupled coincidence point for mappings and , where F has the mixed g-monotone property, in the context of partially ordered metric spaces with an implicit relation. Our ... -
A COUPLED FIXED POINT RESULT IN PARTIALLY ORDERED PARTIAL METRIC SPACES THROUGH IMPLICIT FUNCTION
Gulyaz, Selma; Karapinar, Erdal (HACETTEPE UNIV, FAC SCI, 2013)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 ... -
Existence of a solution of integral equations via fixed point theorem
Gulyaz, Selma; Karapinar, Erdal; Rakocevic, Vladimir; Salimi, Peyman (SPRINGEROPEN, 2013)In this paper, we establish a solution to the following integral equation: u(t) = integral(T)(0) G(t, s)f(s, u(s)) ds for all t is an element of [0,T], (1) where T > 0, f : [0, T] x R -> R and G : [0, T] x [0, T] -> [0, ... -
Existence of solutions of integral equations via fixed point theorems
Gulyaz, Selma; Erhan, Inci M. (SPRINGER INTERNATIONAL PUBLISHING AG, 2014)Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied ... -
Fixed Point Theorems for a Class of alpha-Admissible Contractions and Applications to Boundary Value Problem
Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M. (HINDAWI PUBLISHING CORPORATION, 2014)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 POINTS OF alpha - psi CONTRACTION MAPPINGS ON QUASI-b-METRIC-LIKE SPACES
Gulyaz, Selma (YOKOHAMA PUBL, 2016)In this paper, we consider fixed point for the mapping of alpha - psi contractions in the setting of quasi-b-metric-like space. Some fixed point theorems are investigated in quasi-b-metric-like spaces. -
Fixed points of alpha-admissible Meir-Keeler contraction mappings on quasi-metric spaces
Alsulami, Hamed H.; Gulyaz, Selma; Erhan, Inci M. (SPRINGER INTERNATIONAL PUBLISHING AG, 2015)We introduce alpha-admissible Meir-Keller and generalized alpha-admissible Meir-Keller contractions on quasi-metric spaces and discuss the existence of fixed points of such contractions. We apply our results to G-metric ... -
Generalized alpha -Meir-Keeler Contraction Mappings on Branciari b-metric Spaces
Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M. (UNIV NIS, FAC SCI MATH, 2017)In this paper, alpha-Meir-Keeler and generalized alpha-Meir-Keeler contractions on Branciari b-metric spaces are introduced. Existence and uniqueness of fixed points of such contractions are discussed and related theorems ... -
An Ulam stability result on quasi-b-metric-like spaces
Alsulami, Hamed H.; Gulyaz, Selma; Karapinar, Erdal; Erhan, Inci M. (SCIENDO, 2016)In this paper a class of general type alpha-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are ...