Browsing by Author "Shatanawi, Wasfi"

Now showing 1 - 9 of 9

Citation - WoS: 90
Citation - Scopus: 95
Common Fixed Points for Single-Valued and Multi-Valued Maps Satisfying a Generalized Contraction in -Metric Spaces
(Springer int Publ Ag, 2012) Tahat, Nedal; Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In 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.
Citation - WoS: 20
Citation - Scopus: 49
Coupled Coincidence Points in Partially Ordered Cone Metric Spaces With a c-distance
(Hindawi Ltd, 2012) Shatanawi, Wasfi; Karapinar, Erdal; Aydi, Hassen; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
Cho 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.
Citation - WoS: 143
Citation - Scopus: 141
Coupled Fixed Point Results for (ψ, Φ)-Weakly Contractive Condition in Ordered Partial Metric Spaces
(Pergamon-elsevier Science Ltd, 2011) Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In 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.
Citation - WoS: 34
Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions
(Univ Miskolc inst Math, 2013) Karapinar, Erdal; Shatanawi, Wasfi; Tas, Kenan; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We 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.
Citation - WoS: 16
Citation - Scopus: 15
Fixed Points of Weakly Compatible Mappings Satisfying Generalized Φ-Weak Contractions
(Malaysian Mathematical Sciences Soc, 2015) Vetro, Calogero; Chauhan, Sunny; Karapinar, Erdal; Shatanawi, Wasfi; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In 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.
Citation - WoS: 5
Citation - Scopus: 9
On Weakly (c, Ψ, Φ)-Contractive Mappings in Ordered Partial Metric Spaces
(Hindawi Publishing Corporation, 2012) Karapinar, Erdal; Shatanawi, Wasfi; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We 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.
Citation - WoS: 21
Citation - Scopus: 22
Quadruple Fixed Point Theorems Under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces
(Hindawi Ltd, 2012) Karapinar, Erdal; Shatanawi, Wasfi; Mustafa, Zead; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We 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.
Citation - WoS: 51
Citation - Scopus: 57
Tripled Coincidence Point Results for Generalized Contractions in Ordered Generalized Metric Spaces
(Springer international Publishing Ag, 2012) Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In 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.
Citation - WoS: 47
Citation - Scopus: 63
Tripled Fixed Point Results in Generalized Metric Spaces
(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
We 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.