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Article Citation - WoS: 16Citation - Scopus: 17A 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: 36Citation - Scopus: 62Discussion 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: 74Citation - Scopus: 77Ulam-Hyers Stability Results for Fixed Point Problems Via Α-Ψ Mapping in (b)-metric Space(Hindawi Ltd, 2013) Bota, Monica-Felicia; Karapinar, Erdal; Mlesnite, OanaWe will investigate some existence, uniqueness, and Ulam-Hyers stability results for fixed point problems via alpha-psi-contractive mapping of type-(b) in the framework of b-metric spaces. The presented theorems extend, generalize, and unify several results in the literature, involving the results of Samet et al. (2012).Article Citation - WoS: 1Citation - Scopus: 1The Truncated q-bernstein Polynomials in the Case q > 1(Hindawi Ltd, 2014) Turan, MehmetThe truncated q-Bernstein polynomials B-n,B-m,B-q (f; x), n is an element of N, and m is an element of N-0 emerge naturally when the q-Bernstein polynomials of functions vanishing in some neighbourhood of 0 are considered. In this paper, the convergence of the truncated q-polynomials on [0, 1] is studied. To support the theoretical results, some numerical examples are provided.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: 34Citation - Scopus: 43Meir-Keeler Type Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces(Hindawi Ltd, 2013) Karapinar, Erdal; Roldan, Antonio; Martinez-Moreno, Juan; Roldan, ConcepcionWe study the existence and uniqueness of a fixed point of the multidimensional operators which satisfy Meir-Keeler type contraction condition. Our results extend, improve, and generalize the results mentioned above and the recent results on these topics 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.Article Citation - WoS: 41Citation - Scopus: 52Discussion on Generalized-(αψ, Βφ)-Contractive Mappings Via Generalized Altering Distance Function and Related Fixed Point Theorems(Hindawi Ltd, 2014) Berzig, Maher; Karapinar, Erdal; Roldan-Lopez-de-Hierro, Antonio-FranciscoWe extend the notion of (alpha psi, beta phi)-contractive mapping, a very recent concept by Berzig and Karapinar. This allows us to consider contractive conditions that generalize a wide range of nonexpansive mappings in the setting of metric spaces provided with binary relations that are not necessarily neither partial orders nor preorders. Thus, using this kind of contractive mappings, we show some related fixed point theorems that improve some well known recent results and can be applied in a variety of contexts.Article Citation - WoS: 16Citation - Scopus: 21Further Remarks on Fixed-Point Theorems in the Context of Partial Metric Spaces(Hindawi Ltd, 2013) Jleli, Mohamed; Karapinar, Erdal; Samet, BessemNew fixed-point theorems on metric spaces are established, and analogous results on partial metric spaces are deduced. This work can be considered as a continuation of the paper Samet et al. (2013).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.
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