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Dive into the research topics where Zead Mustafa is active.

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Featured researches published by Zead Mustafa.


Fixed Point Theory and Applications | 2009

Fixed Point Theorems for Contractive Mappings in Complete -Metric Spaces

Zead Mustafa; Brailey Sims

We prove some fixed point results for mappings satisfying various contractive conditions on Complete -metric Spaces. Also the Uniqueness of such fixed point are proved, as well as we showed these mappings are -continuous on such fixed points.


Fixed Point Theory and Applications | 2008

Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

Zead Mustafa; Hamed Obiedat; Fadi Awawdeh

We prove some fixed point results for mapping satisfying sufficient conditions on complete -metric space, also we showed that if the -metric space is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space , where is the usual metric space which defined from the -metric space .


International Journal of Mathematics and Mathematical Sciences | 2009

Existence of Fixed Point Results in -Metric Spaces

Zead Mustafa; Wasfi Shatanawi; Malik Bataineh

The purpose of this paper is to prove the existence of fixed points of contractive mapping defined on 𝐺-metric space where the completeness is replaced with weaker conditions. Moreover, we showed that these conditions do not guarantee the completeness of 𝐺-metric spaces.


Cubo (Temuco) | 2010

A Fixed Point Theorem of Reich in G-Metric Spaces

Zead Mustafa; Hamed Obiedat

En este articulo nosotros provamos algunos resultados de punto fijo para aplicaciones satisfaciendo condiciones suficientes de contractividad sobre un espacio G-metrico completo, tambien mostramos que si el espacio G-metrico es simetrico, entonces la existencia y unicidad de estos resultados de punto fijo siguen de teoremas de Reich en espacios metricos usuales , donde es la metrica inducida por el espacio G-metrico .


Fixed Point Theory and Applications | 2012

Mixed g-monotone property and quadruple fixed point theorems in partially ordered metric spaces

Zead Mustafa; Hassen Aydi; Erdal Karapınar

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. 2000 Mathematics subject Classifications: 46T99; 54H25; 47H10; 54E50.


Journal of Applied Mathematics | 2012

Quadruple Fixed Point Theorems under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces

Erdal Karapınar; Wasfi Shatanawi; Zead Mustafa

We prove a number of quadruple fixed point theorems under 𝜙-contractive conditions for a mapping 𝐹∶𝑋4→𝑋 in ordered metric spaces. Also, we introduce an example to illustrate the effectiveness of our results.


Journal of Inequalities and Applications | 2013

Some common fixed point results in ordered partial b -metric spaces

Zead Mustafa; Jamal Rezaei Roshan; Vahid Parvaneh; Zoran Kadelburg

In this paper, we introduce a modified version of ordered partial b-metric spaces. We demonstrate a fundamental lemma for the convergence of sequences in such spaces. Using this lemma, we prove some fixed point and common fixed point results for (ψ,φ)-weakly contractive mappings in the setup of ordered partial b-metric spaces. Finally, examples are presented to verify the effectiveness and applicability of our main results.MSC: 47H10, 54H25.


Fixed Point Theory and Applications | 2011

Some Coincidence Point Theorems for Nonlinear Contraction in Ordered Metric Spaces

Wasfi Shatanawi; Zead Mustafa; Nedal Tahat

We establish new coincidence point theorems for nonlinear contraction in ordered metric spaces. Also, we introduce an example to support our results. Some applications of our obtained results are given.MSC: 54H25; 47H10; 54E50; 34B15.


Abstract and Applied Analysis | 2012

Theorems for Boyd-Wong-Type Contractions in Ordered Metric Spaces

Hassen Aydi; Wasfi Shatanawi; Mihai Postolache; Zead Mustafa; Nedal Tahat

We give some fixed point results using an ICS mapping and involving Boyd-Wong-type contractions in partially ordered metric spaces. Our results generalize, extend, and unify several well-known comparable theorems in the literature. Also, we present some examples to support our results.


Journal of Applied Mathematics | 2012

Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces

Zead Mustafa

We introduce some new types of pairs of mappings (𝑓,𝑔) on G-metric space called G-weakly commuting of type (𝐴𝑓) and G-R-weakly commuting of type (𝐴𝑓). We obtain also several common fixed point results for these mappings under certain contractive condition in G-metric space. Also some examples illustrated to support our results, and comparison between different types of pairs of mappings are studied.

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Brailey Sims

University of Newcastle

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Mihai Postolache

Politehnica University of Bucharest

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Malik Bataineh

Jordan University of Science and Technology

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