44 results
Search Results
Now showing 1 - 10 of 44
Article Citation - WoS: 15Fixed Point Results for Various Α-Admissible Contractive Mappings on Metric-Like Spaces(Hindawi Ltd, 2014) Al-Mezel, Saleh A.; Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, VladimirWe establish some fixed point theorems for alpha-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type alpha-phi-contractive self-mapping.. defined on a metric- like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.Article Citation - WoS: 31Citation - Scopus: 36New Meir-Keeler Type Tripled Fixed-Point Theorems on Ordered Partial Metric Spaces(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, ErdalIn this paper, we prove some new Meir-Keeler type tripled fixed-point theorems on a partially ordered complete partial metric space. Also, as application, some results of integral type are given.Article Citation - WoS: 37Citation - Scopus: 47Fixed Points of Modified f-contractive Mappings in Complete Metric-Like Spaces(Hindawi Ltd, 2015) Alsulami, Hamed H.; Karapinar, Erdal; Piri, HosseinWe introduce the notion of modified F-contractive mappings in the setting of complete metric-like spaces and we investigate the existence and uniqueness of fixed point of such mappings. The presented results unify, extend, and improve several results in the related literature.Article Citation - WoS: 43Coupled Fixed Points for Meir-Keeler Contractions in Ordered Partial Metric Spaces(Hindawi Ltd, 2012) Abdeljawad, Thabet; Aydi, Hassen; Karapinar, ErdalIn this paper, we prove the existence and uniqueness of a new Meir-Keeler type coupled fixed point theorem for two mappings F : X x X -> X and g : X -> X on a partially ordered partial metric space. We present an application to illustrate our obtained results. Further, we remark that the metric case of our results proved recently in Gordji et al. (2012) have gaps. Therefore, our results revise and generalize some of those presented in Gordji et al. (2012)Article Citation - WoS: 16Citation - Scopus: 16A Generalized Meir-Keeler Contraction on Partial Metric Spaces(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Rezapour, ShahramWe introduce a generalization of the Meir-Keeler-type contractions, referred to as generalized Meir-Keeler-type contractions, over partial metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler-type contraction has a fixed point on a 0-complete partial metric space.Article Citation - WoS: 21Citation - Scopus: 20Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces Via Implicit Relation(Hindawi Ltd, 2012) Nguyen Manh Hung; Karapinar, Erdal; Nguyen Van LuongWe prove a coupled coincidence point theorem for mappings F : X x X -> X and g : X -> X, where F has the mixed g-monotone property, in partially ordered metric spaces via implicit relations. Our result extends and improves several results in the literature. Examples are also given to illustrate our work.Article Citation - WoS: 7Citation - Scopus: 9On Cyclic Generalized Weakly c-contractions on Partial Metric Spaces(Hindawi Ltd, 2013) Karapinar, Erdal; Rakocevic, VladimirWe give new results of a cyclic generalized weakly C-contraction in partial metric space. The results of this paper extend, generalize, and improve some fixed point theorems in the literature.Article Citation - WoS: 61Best Proximity Points for Generalized α-ψ-Proximal Contractive Type Mappings(Hindawi Ltd, 2013) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemWe introduce a new class of non-self-contractive mappings. For such mappings, we study the existence and uniqueness of best proximity points. Several applications and interesting consequences of our obtained results are derived.Article Citation - WoS: 35Citation - Scopus: 61Discussion on Α - Ψ Contractions on Generalized Metric Spaces(Hindawi Ltd, 2014) Karapinar, ErdalWe discuss the existence and uniqueness of fixed points of alpha - psi contractive mappings in complete generalized metric spaces, introduced by Branciari. Our results generalize and improve several results in the literature.Article Citation - WoS: 11Citation - Scopus: 8Coupled Coincidence Point and Coupled Fixed Point Theorems via Generalized Meir-Keeler Type Contractions(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Erhan, Inci M.We prove coupled coincidence point and coupled fixed point results of F : X x X -> X and g : X -> X involving Meir-Keeler type contractions on the class of partially ordered metric spaces. Our results generalize some recent results in the literature. Also, we give some illustrative examples and application.
