Browsing by Author "Mustafa, Zead"

Now showing 1 - 8 of 8

Citation - WoS: 19
Citation - Scopus: 14
Coupled coincidence point results on generalized distance in ordered cone metric spaces
(Springer, 2013) Aydi, Hassen; Karapinar, Erdal; Mustafa, Zead; Mathematics
In this paper, we establish some coupled coincidence point results in the setting of partially ordered cone metric spaces via -distance. We also proved some related coupled common fixed point theorems for such mappings. Our results generalize, extend, and unify several well-known comparable results in the literature regarding this topic. We present some examples to illustrate the concepts and results.
Citation - WoS: 26
Citation - Scopus: 23
A Discussion on Generalized Almost Contractions Via Rational Expressions in Partially Ordered Metric Spaces
(Springeropen, 2014) Mustafa, Zead; Karapinar, Erdal; Aydi, Hassen; Mathematics
The main purpose of this paper is to give some fixed point results for mappings involving generalized (phi, psi)-contractions in partially ordered metric spaces. Our results generalize, extend, and unify several well-known comparable results in the literature (Jaggi in Indian J. Pure Appl. Math. 8(2):223-230, 1977, Harjani et al. in Nonlinear Anal. 71:3403-3410, 2009, Luong and Thuan in Fixed Point Theory Appl. 2011:46, 2011). The presented results are supported by three illustrative examples.
Citation - WoS: 27
Citation - Scopus: 28
Generalized Meir-Keeler Type Contractions on g-metric Spaces
(Elsevier Science inc, 2013) Mustafa, Zead; Aydi, Hassen; Karapinar, Erdal; Mathematics
In this manuscript, we introduce generalized Meir-Keeler type contractions over G-metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler type contraction has a unique fixed point on complete G-metric spaces. We illustrate our results by some given examples. (C) 2013 Elsevier Inc. All rights reserved.
Citation - WoS: 29
Citation - Scopus: 42
Mixed g-monotone Property and Quadruple Fixed Point Theorems in Partially Ordered Metric Spaces
(Springer international Publishing Ag, 2012) Mustafa, Zead; Aydi, Hassen; Karapinar, Erdal; Mathematics
In this manuscript, we prove some quadruple coincidence and common fixed point theorems for F : X-4 -> X and g : X -> X satisfying generalized contractions in partially ordered metric spaces. Our results unify, generalize and complement various known results from the current literature. Also, an application to matrix equations is given.
Citation - WoS: 7
A New Fixed Point Result Via Property P With an Application
(int Scientific Research Publications, 2017) Mustafa, Zead; Jaradat, M. M. M.; Karapinar, Erdal; Mathematics
The purpose of this paper is to introduce a new contractive condition. We prove the existence and uniqueness of a fixed point of self-mapping under this new contractive condition. Moreover, we observe analog of these results for the mappings that satisfy the property P. An application on integral equations is presented to illustrate the main result. Our results extend and generalize well-known results in the literature. (C) 2017 All rights reserved.
Citation - WoS: 82
Citation - Scopus: 87
On Common Fixed Points in g-metric Spaces Using (e.a) Property
(Pergamon-elsevier Science Ltd, 2012) Mustafa, Zead; Aydi, Hassen; Karapinar, Erdal; Mathematics
In this paper, we introduce some new types of pairs of mappings (f, g) on G-metric spaces called G-weakly commuting of type G(f) and G-R-weakly commuting of type G(f). We obtain also several common fixed point results by using the (E.A) property. (c) 2012 Elsevier Ltd. All rights reserved.
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
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: 9
Some Tripled Coincidence Point Theorems for Almost Generalized Contractions in Ordered Metric Spaces
(Tamkang Univ, 2013) Aydi, Hassen; Karapinar, Erdal; Mustafa, Zead; Mathematics
In this paper, we prove tripled coincidence and common fixed point theorems for F: X x X x X -> X and g: X -> X satisfying almost generalized contractions in partially ordered metric spaces. The presented results generalize the theorem of Berinde and Borcut [Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces, Nonlinear Anal. 74 (15) (2011) 4889-4897. Also, some examples are presented.