Zead Mustafa
Qatar University, Mathematics, Statics, and Physics, Faculty Member
This study addresses thermal transportation associated with dissipated flow of a Maxwell Sutterby nanofluid caused by an elongating surface. The fluid passes across Darcy–Forchheimer sponge medium and it is affected by electromagnetic... more
This study addresses thermal transportation associated with dissipated flow of a Maxwell Sutterby nanofluid caused by an elongating surface. The fluid passes across Darcy–Forchheimer sponge medium and it is affected by electromagnetic field applied along the normal surface. Appropriate similarity transforms are employed to convert the controlling partial differential equations into ordinary differential form, which are then resolved numerically with implementation of Runge–Kutta method and shooting approach. The computational analysis for physical insight is attempted for varying inputs of pertinent parameters. The output revealed that the velocity of fluid for shear thickening is slower than that of shear thinning. The fluid temperature increases directly with Eckert number, and parameters of Cattaneo–Christov diffusion, radiation, electric field, magnetic field, Brownian motion and thermophoresis. The Nusselt number explicitly elevated as the values of radiation and Hartmann numbe...
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We introduce a new pair of mappings (S,T) on D*-metric spaces called DS*-W.C. and DRS*-W.C. Many examples are presented to show the difference between these mappings and other types of mappings in the literature. Moreover, we obtain... more
We introduce a new pair of mappings (S,T) on D*-metric spaces called DS*-W.C. and DRS*-W.C. Many examples are presented to show the difference between these mappings and other types of mappings in the literature. Moreover, we obtain several common fixed point results by using these types of mappings and the (E.A) property. We then employ the fixed point results to establish the existence and uniqueness of a solution for a class of nonlinear integral equations.
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We introduce a new pair of mappings (S,T) on D*-metric spaces called DS*-W.C. and DRS*-W.C. Many examples are presented to show the difference between these mappings and other types of mappings in the literature. Moreover, we obtain... more
We introduce a new pair of mappings (S,T) on D*-metric spaces called DS*-W.C. and DRS*-W.C. Many examples are presented to show the difference between these mappings and other types of mappings in the literature. Moreover, we obtain several common fixed point results by using these types of mappings and the (E.A) property. We then employ the fixed point results to establish the existence and uniqueness of a solution for a class of nonlinear integral equations.
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For a set of graphs F , let H(n;F) denote the class of non-bipartite Hamiltonian graphs on n vertices that does not contain any graph of F as a subgraph and h(n;F) = max{E(G) : G ∈ H(n;F)} where E(G) is the number of edges in G. In this... more
For a set of graphs F , let H(n;F) denote the class of non-bipartite Hamiltonian graphs on n vertices that does not contain any graph of F as a subgraph and h(n;F) = max{E(G) : G ∈ H(n;F)} where E(G) is the number of edges in G. In this paper, we determine h(n; {θ4, θ5, θ7}) and we establish an upper bound of h(n; θ7) for sufficiently even large n. Our results confirms the conjecture made in [1] for k = 3. ∗. Corresponding author 414 M.S. BATAINEH, A.A. AL-RHAYYEL, ZEAD MUSTAFA and M.M.M. JARADAT
In this paper we give an answer for the following problem: Is 2-quasiλ(P )-nuclear maps between normed spaces equivalent to quasi-λ(P )-nuclear maps for a non nuclear G∞-space λ(P )? [3]. Also, we define the k-Köthe space λ, and we prove... more
In this paper we give an answer for the following problem: Is 2-quasiλ(P )-nuclear maps between normed spaces equivalent to quasi-λ(P )-nuclear maps for a non nuclear G∞-space λ(P )? [3]. Also, we define the k-Köthe space λ, and we prove that if λ is generated from power sets of infinite type P1, P2, . . . , Pk and λ is nuclear, then 2-quasi-λ-nuclear maps between normed spaces is equivalent to quasi-λ-nuclear maps.
In this paper, using rational type contractive conditions, the existence and uniqueness of common coupled fixed point theorem in the set up of Gb-metric spaces is studied. The derived result cover and generalize some well-known comparable... more
In this paper, using rational type contractive conditions, the existence and uniqueness of common coupled fixed point theorem in the set up of Gb-metric spaces is studied. The derived result cover and generalize some well-known comparable results in the existing literature. Then we use the derived results to prove the existence and uniqueness solution for some classes of integral equations. Further more, an example of such type of integral equation is presented.
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In this short paper we show that the results obtained by [N. Hussain, V. Parvaneh, B. Samet and C. Vetro, Some fixed point theorems for generalized contractive mappings in complete metric spaces, Fixed Point Theory and Applications (2015)... more
In this short paper we show that the results obtained by [N. Hussain, V. Parvaneh, B. Samet and C. Vetro, Some fixed point theorems for generalized contractive mappings in complete metric spaces, Fixed Point Theory and Applications (2015) 2015:185] can be obtained without the continuity assumption for the self mapping.
In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and g : X → X satisfying a nonlinear contraction based on φ-maps. Our results extend and improve many existing results in the... more
In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and g : X → X satisfying a nonlinear contraction based on φ-maps. Our results extend and improve many existing results in the literature. Also, we introduce an example to support the validity of our results.
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In this paper, we define the expansive mapping in the setting of G-metric space, also several fixed point theorems for a class of expansive mappings defined on a complete G-metric space are studied.
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To overcome fundamental flaws in B. C. Dhage's theory of generalized metric spaces, flaws that invalidate most of the results claimed for these spaces, we introduce an alternative more robust generalization of metric spaces. Namely,... more
To overcome fundamental flaws in B. C. Dhage's theory of generalized metric spaces, flaws that invalidate most of the results claimed for these spaces, we introduce an alternative more robust generalization of metric spaces. Namely, that of a G-metric space, where the G-metric satisfies the axioms: (1) G(x, y, z) = 0 if x = y = z; (2) 0 < G(x, x, y) ; whenever x =/= y, (3) G(x, x, y) <= G(x, y, z) whenever z =/= y, (4) G is a symmetric function of its three variables, and (5) G(x, y, z) <= G(x, a, a) + G(a, y, z).
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For a set of graphs F , let H(n; F ) denote the class of non-bipartite Hamiltonian graphs on n vertices that does not contain any graph of F as a subgraph and h(n; F ) = max{E (G) : G E H(n; F )} where E (G) is the number of edges in G.... more
For a set of graphs F , let H(n; F ) denote the class of non-bipartite Hamiltonian graphs on n vertices that does not contain any graph of F as a subgraph and h(n; F ) = max{E (G) : G E H(n; F )} where E (G) is the number of edges in G. In this paper we determine h(n; {84, 85, 87}) and h(n; 87) for sufficiently odd large n. Our result confirms the conjecture made in [7] for k = 3.
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The solutions for many real life problems is obtained by interpreting the given problem mathematically in the form of f ( x ) = x . One of such examples is that of the famous Borsuk–Ulam theorem, in which using some fixed point argument,... more
The solutions for many real life problems is obtained by interpreting the given problem mathematically in the form of f ( x ) = x . One of such examples is that of the famous Borsuk–Ulam theorem, in which using some fixed point argument, it can be guaranteed that at any given time we can find two diametrically opposite places in a planet with same temperature. Thus, the correlation of symmetry is inherent in the study of fixed point theory. In this paper, we initiate ϕ − F -contractions and study the existence of PPF-dependent fixed points (fixed points for mappings having variant domains and ranges) for these related mappings in the Razumikhin class. Our theorems extend and improve the results of Hammad and De La Sen [Mathematics, 2019, 7, 52]. As applications of our PPF dependent fixed point results, we study the existence of solutions for delay differential equations (DDEs) which have numerous applications in population dynamics, bioscience problems and control engineering.
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The aim of this manuscript is to present a unique common fixed point theorem for six mappings satisfying $(\phi ,\psi )$-contractions using (E.A) property in the framework of $G_{b}$- metric spaces. An illustrative example is also given... more
The aim of this manuscript is to present a unique common fixed point theorem for six mappings satisfying $(\phi ,\psi )$-contractions using (E.A) property in the framework of $G_{b}$- metric spaces. An illustrative example is also given to justify the established result.
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Recent research on teaching English for academic purposes (EAP) has shown that conscious knowledge of genre structure plays an important role in effective use of English in academic settings. This study examines the effect of raising... more
Recent research on teaching English for academic purposes (EAP) has shown that conscious knowledge of genre structure plays an important role in effective use of English in academic settings. This study examines the effect of raising university students' ...
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In this paper, we prove several common fixed points results for pair of weakly compatible mapping satisfying certain contractive conditions on G-metric space. Also we present some examples to support our results. Mathematics Subject... more
In this paper, we prove several common fixed points results for pair of weakly compatible mapping satisfying certain contractive conditions on G-metric space. Also we present some examples to support our results. Mathematics Subject Classification: Primary 47H10, Secondary 46B20
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In this paper, we prove the existence of fixed points of F t -contraction mappings in partially ordered metric spaces not necessarily complete. We require that the ordered metric space has the t-property, which is a new concept introduced... more
In this paper, we prove the existence of fixed points of F t -contraction mappings in partially ordered metric spaces not necessarily complete. We require that the ordered metric space has the t-property, which is a new concept introduced recently by Rashid et.al. We also give some examples to illustrate the new concepts and obtained results.
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The purpose of this paper is to prove some fixed point results using JS-G-contraction on G-metric spaces, also to prove some fixed point results on G
In this paper, we introduce the notion of multivalued contractive mappings in complex valued metric space and prove common fixed point theorems for two multivalued contractive mappings in complex valued metric spaces without using the... more
In this paper, we introduce the notion of multivalued contractive mappings in complex valued metric space and prove common fixed point theorems for two multivalued contractive mappings in complex valued metric spaces without using the notion of continuity. Our results improve and extend the results of Azam et al. (2011).
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In this paper, we introduce a new concept called partial (h-F)-generalized (and (h-F)-subgeneralized) convex contractions of order 3 (and with rank 3) using some auxiliary functions. Also we present some approximate fixed point results in... more
In this paper, we introduce a new concept called partial (h-F)-generalized (and (h-F)-subgeneralized) convex contractions of order 3 (and with rank 3) using some auxiliary functions. Also we present some approximate fixed point results in metric space and approximate fixed point results in metric space endowed with a graph. Some examples are provided to illustrate the main results and to show the essentiality of the given hypotheses.
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ABSTRACT In [Bull. Calcutta Math. Soc. 84, No. 4, 329–336 (1992; Zbl 0782.54037)], B. C. Dhage initiated the study of a generalized metric spaces, namely, D-metric spaces. In the present paper, the authors introduce an alternative, more... more
ABSTRACT In [Bull. Calcutta Math. Soc. 84, No. 4, 329–336 (1992; Zbl 0782.54037)], B. C. Dhage initiated the study of a generalized metric spaces, namely, D-metric spaces. In the present paper, the authors introduce an alternative, more robust generalization of metric spaces, namely, G-metric spaces, where the G-metric satisfies the following axioms: (1) G(x,y,z)=c if x=y=z, (2) 0&lt;G(x,x,z) whenever x≠y, (3) G(x,x,y)≤G(x,y,z) whenever z≠y, (4) G is a symmetric function of its three variables, and (5) G(x,y,z)≤G(x,a,a)+G(a,y,z). In Section 2, some properties of G-metric spaces are studied. Section 3, entitled “The G-metric topology”, contains: Convergence and continuity in G-metric spaces; Completeness of G-metric spaces and compactness in G-metric spaces. In the last section, products of G-metric spaces are studied.
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... and Convex Analysis, Volume 7, No. 2 (2006). 289–297. [4] Zead Mustafa, Hamed Obiedat andFadi Awawdeh, Some Fixed Point Theorem for Mapping on Complete G-metric Spaces, Fixed Point Theory and Applications, vol. 2008, Article ID... more
... and Convex Analysis, Volume 7, No. 2 (2006). 289–297. [4] Zead Mustafa, Hamed Obiedat andFadi Awawdeh, Some Fixed Point Theorem for Mapping on Complete G-metric Spaces, Fixed Point Theory and Applications, vol. 2008, Article ID 189870, 12 Pages, 2008. ...
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... and Convex Analysis, Volume 7, No. 2 (2006). 289–297. [4] Zead Mustafa, Hamed Obiedat andFadi Awawdeh, Some Fixed Point Theorem for Mapping on Complete G-metric Spaces, Fixed Point Theory and Applications, vol. 2008, Article ID... more
... and Convex Analysis, Volume 7, No. 2 (2006). 289–297. [4] Zead Mustafa, Hamed Obiedat andFadi Awawdeh, Some Fixed Point Theorem for Mapping on Complete G-metric Spaces, Fixed Point Theory and Applications, vol. 2008, Article ID 189870, 12 Pages, 2008. ...
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ABSTRACT 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... more
ABSTRACT 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.