Browsing by Author "Shatanawi, Wasfi"
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Article Citation Count: 89Common fixed points for single-valued and multi-valued maps satisfying a generalized contraction in -metric spaces(Springer int Publ Ag, 2012) Karapınar, Erdal; Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi; MathematicsIn this article, we establish some common fixed point theorems for a hybrid pair {} of single valued and multi-valued maps satisfying a generalized contractive condition defined on -metric spaces. Our results unify, generalize and complement various known comparable results from the current literature. 54H25; 47H10; 54E50.Article Citation Count: 19Coupled Coincidence Points in Partially Ordered Cone Metric Spaces with a c-Distance(Hindawi Ltd, 2012) Karapınar, Erdal; Karapinar, Erdal; Aydi, Hassen; MathematicsCho et al. (2012) proved some coupled fixed point theorems in partially ordered cone metric spaces by using the concept of a c-distance in cone metric spaces. In this paper, we prove some coincidence point theorems in partially ordered cone metric spaces by using the notion of a c-distance. Our results generalize several well-known comparable results in the literature. Also, we introduce an example to support the usability of our results.Article Citation Count: 143Coupled fixed point results for (ψ, φ)-weakly contractive condition in ordered partial metric spaces(Pergamon-elsevier Science Ltd, 2011) Karapınar, Erdal; Karapinar, Erdal; Shatanawi, Wasfi; MathematicsIn this paper, we prove some coupled fixed point theorems involving a (psi, phi)-weakly contractive condition for mapping having the mixed monotone property in ordered partial metric spaces. These results are analogous to theorems of Van Luong and Xuan Thuan (2011) [10] on the class of ordered partial metric spaces. Also, an application is given to support our results. (C) 2011 Elsevier Ltd. All rights reserved.Article Citation Count: 30FIXED POINT THEOREM ON PARTIAL METRIC SPACES INVOLVING RATIONAL EXPRESSIONS(Univ Miskolc inst Math, 2013) Karapınar, Erdal; Shatanawi, Wasfi; Tas, Kenan; MathematicsWe establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result.Article Citation Count: 14Fixed Points of Weakly Compatible Mappings Satisfying Generalized φ-Weak Contractions(Malaysian Mathematical Sciences Soc, 2015) Karapınar, Erdal; Chauhan, Sunny; Karapinar, Erdal; Shatanawi, Wasfi; MathematicsIn this paper, utilizing the notion of the common limit range property, we prove some new integral type common fixed point theorems for weakly compatible mappings satisfying a phi-weak contractive condition in metric spaces. Moreover, we extend our results to four finite families of self mappings, and furnish an illustrative example and an application to support our main theorem. Our results improve, extend, and generalize well-known results on the topic in the literature.Article Citation Count: 5On Weakly (C, ψ, φ)-Contractive Mappings in Ordered Partial Metric Spaces(Hindawi Publishing Corporation, 2012) Karapınar, Erdal; Shatanawi, Wasfi; MathematicsWe introduce the notion of weakly (C, psi, phi)-contractive mappings in ordered partial metric spaces and prove some common fixed point theorems for such contractive mappings in the context of partially ordered partial metric spaces under certain conditions. We give some common fixed point results of integral type as an application of our main theorem. Also, we give an example and an application of integral equation to support the useability of our results.Article Citation Count: 20Quadruple Fixed Point Theorems under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces(Hindawi Ltd, 2012) Karapınar, Erdal; Shatanawi, Wasfi; Mustafa, Zead; MathematicsWe prove a number of quadruple fixed point theorems under phi-contractive conditions for a mapping F : X-4 -> X in ordered metric spaces. Also, we introduce an example to illustrate the effectiveness of our results.Article Citation Count: 50Tripled coincidence point results for generalized contractions in ordered generalized metric spaces(Springer international Publishing Ag, 2012) Karapınar, Erdal; Karapinar, Erdal; Shatanawi, Wasfi; MathematicsIn this paper, we establish some tripled coincidence point results for a mixed g-monotone mapping F : X (3) -> X satisfying (psi, I center dot)-contractions in ordered generalized metric spaces. Also, an application and some examples are given to support our results.Article Citation Count: 46Tripled Fixed Point Results in Generalized Metric Spaces(Hindawi Ltd, 2012) Karapınar, Erdal; Karapinar, Erdal; Shatanawi, Wasfi; MathematicsWe establish a tripled fixed point result for a mixed monotone mapping satisfying nonlinear contractions in ordered generalized metric spaces. Also, some examples are given to support our result.