ORCID Profile
0009-0001-7168-3342
Current Organisation
Hashemite University
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Publisher: Springer Science and Business Media LLC
Date: 06-11-2012
Publisher: Springer Science and Business Media LLC
Date: 28-07-2008
DOI: 10.1155/2008/189870
Abstract: We prove some fixed point results for mapping satisfying sufficient conditions on complete "Equation missing" -metric space, also we showed that if the "Equation missing" -metric space "Equation missing" is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space "Equation missing" , where "Equation missing" is the usual metric space which defined from the "Equation missing" -metric space "Equation missing" .
Publisher: Springer Science and Business Media LLC
Date: 07-11-2013
Publisher: Akademiai Kiado Zrt.
Date: 09-2011
DOI: 10.1556/SSCMATH.48.2011.3.1170
Abstract: In this paper several fixed point theorems for a class of mappings defined on a complete G -metric space are proved. In the same time we show that if the G -metric space ( X, G ) is symmetric then the existence and uniqueness of these fixed point results follows from the Hardy-Rogers theorem in the induced usual metric space ( X, d G ). We also prove fixed point results for mapping on a G -metric space ( X, G ) by using the Hardy-Rogers theorem where ( X, G ) need not be symmetric.
Publisher: International Scientific Research Publications MY SDN. BHD.
Date: 15-04-2017
Publisher: International Scientific Research Publications MY SDN. BHD.
Date: 25-04-2016
Publisher: International Scientific Research Publications MY SDN. BHD.
Date: 12-05-2017
Publisher: MDPI AG
Date: 24-08-2022
DOI: 10.3390/NANO12172902
Abstract: The purpose and novelty of our study include the scrutinization of the unsteady flow and heat characteristics of the unsteady Sutterby nano-fluid flow across an elongated cone using slip boundary conditions. The bioconvection of gyrotactic micro-organisms, Cattaneo–Christov, and thermal radiative fluxes with magnetic fields are significant physical aspects of the study. Anisotropic constraints on the cone surface are taken into account. The leading formulation is transmuted into ordinary differential formate via similarity functions. Five coupled equations with nonlinear terms are resolved numerically through the utilization of a MATLAB code for the Runge–Kutta procedure. The parameters of buoyancy ratio, the porosity of medium, and bioconvection Rayleigh number decrease x-direction velocity. The slip parameter retard y-direction velocity. The temperature for Sutterby fluids is at a hotter level, but its velocity is vividly slower compared to those of nanofluids. The temperature profile improves directly with thermophoresis, v-velocity slip, and random motion of nanoentities.
Publisher: Springer Science and Business Media LLC
Date: 27-10-2011
DOI: 10.1186/1687-1812-2011-68
Abstract: We establish new coincidence point theorems for nonlinear contraction in ordered metric spaces. Also, we introduce an ex le to support our results. Some applications of our obtained results are given. MSC: 54H25 47H10 54E50 34B15.
Publisher: International Scientific Research Publications MY SDN. BHD.
Date: 16-07-2020
Publisher: MDPI AG
Date: 24-05-2022
DOI: 10.3390/NANO12111791
Abstract: The two-dimensional boundary layer flow of a Prandtl nanofluid was explored in the presence of an aligned magnetic field over an inclined stretching/shrinking sheet in a non-Darcy permeable medium. To transform the PDEs of the leading equations into ODEs, a coupled boundary value problem was formed and suitable similarity functions were used. To obtain numerical answers, an efficient code for the Runge–Kutta technique with a shooting tool was constructed with a MATLAB script. This procedure is widely used for the solution of such problems as it is efficient and cost-effective with a fifth-order accuracy. The significance of immersed parameters on the velocity, temperature, concentration, and bioconvection is shown through figures. Furthermore, the physical parameters of the skin friction coefficient and the Nusselt numbers are demonstrated in tables. The declining behavior of the flow velocity against the porosity parameter Kp and the local inertia co-efficient Fr is shown, and the both parameters of the Darcy resistance and Darcy–Forchheimer resistance are responsible for slowing the fluid speed. The increasing values of the Schmidt number Sc decrease the concentration of the nano entities.
Publisher: Tamkang Journal of Mathematics
Date: 21-09-2013
DOI: 10.5556/J.TKJM.44.2013.990
Abstract: In this paper, we prove tripledcoincidence and common fixed point theorems for $F: X\\times X\\times X\\to X$ and $g:X\\to X$ 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 ex les are presented.
Publisher: Walter de Gruyter GmbH
Date: 09-2014
Abstract: In this paper, we study some tripled fixed and coincidence point theorems for two mappings F : X × X × X → X and ɡ : 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 ex le to support the validity of our results.
Publisher: Springer Science and Business Media LLC
Date: 21-06-2016
Publisher: Springer Science and Business Media LLC
Date: 11-2019
DOI: 10.1186/S13663-019-0666-3
Abstract: In this paper, we introduce the structure of $S_{p}$ S p -metric spaces as a generalization of both S -metric and $S_{b}$ S b -metric spaces. Also, we present the notions of S̃ -contractive mappings in the setup of ordered $S_{p}$ S p -metric spaces and investigate the existence of a fixed point for such mappings under various contractive conditions. We provide ex les to illustrate the results presented herein. An application to periodic boundary value problems is presented.
Publisher: Springer Science and Business Media LLC
Date: 12-2019
DOI: 10.1186/S13663-019-0667-2
Abstract: In this paper, we obtain some best proximity point results for a new class of non-self mappings $T:A \\longrightarrow B$ T : A ⟶ B called special generalized proximal β -quasi contractive. Our result is illustrated by an ex le. Several consequences are derived.
Publisher: Walter de Gruyter GmbH
Date: 2020
Abstract: The main purpose of this paper is to find some fixed point results with a new approach, particularly in those cases where the existing literature remains silent. More precisely, we introduce partial completeness, f ̄-orbitally completeness, a new type of contractions and many other notions. We also ensure the existence of fixed points for non-contraction maps in the class of incomplete partial b -metric spaces. We have reported some ex les in support of our results.
Publisher: International Scientific Research Publications MY SDN. BHD.
Date: 02-2018
Publisher: Hindawi Limited
Date: 2012
DOI: 10.1155/2012/248937
Publisher: MDPI AG
Date: 06-11-2019
DOI: 10.3390/SYM11111375
Abstract: 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 ex les 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.
Publisher: Springer Science and Business Media LLC
Date: 30-01-2014
DOI: 10.1186/1029-242X-2014-46
Abstract: In this work, we obtain some fixed point results for generalized weakly T -Chatterjea-contractive and generalized weakly T -Kannan-contractive mappings in the framework of complete b -metric spaces. Ex les are provided in order to distinguish these results from the known ones. MSC: 47H10, 54H25.
Publisher: Elsevier BV
Date: 12-2009
Publisher: MDPI AG
Date: 24-04-2019
DOI: 10.3390/SYM11040594
Abstract: In this paper, we introduce the class of extended rectangular b-metric spaces as a generalization of both rectangular metric and rectangular b-metric spaces. In addition, some fixed point results connected with certain contractions are obtained and ex les are given to illustrate these results.
Publisher: International Scientific Research Publications MY SDN. BHD.
Date: 26-04-2017
Publisher: Springer Science and Business Media LLC
Date: 25-09-2023
Publisher: Springer Science and Business Media LLC
Date: 25-11-2013
DOI: 10.1186/1029-242X-2013-562
Abstract: 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, ex les are presented to verify the effectiveness and applicability of our main results. MSC: 47H10, 54H25.
Publisher: Hindawi Limited
Date: 2009
DOI: 10.1155/2009/980987
Abstract: This paper is focused on deriving an explicit analytical solution for the prediction of the electrostatic potential, commonly used on electrokinetic research and its related applications. Different from all other analytic techniques, this approach provides a simple way to ensure the convergence of series of solution so that one can always get accurate enough approximations. This new approach can be a useful tool in electrical field applications such as the separation of a mixture of macromolecules and the removal of contaminants in soil cleaning processes.
Publisher: New York Business Global LLC
Date: 30-01-2018
DOI: 10.29020/NYBG.EJPAM.V11I1.3133
Abstract: 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 ex le is also given to justify the established result.
Publisher: Sociedade Paranaense de Matematica
Date: 2021
DOI: 10.5269/BSPM.41143
Abstract: In this paper, we introduce new type of -contraction in term of a self-mapping on a metric space to obtain common xed point results. Some ex les are also provided to support the validity of our results and concepts presented herein. As an application of our results, periodic point results for these \\Theta-contractions in metric spaces are proved.
Publisher: Elsevier BV
Date: 03-2018
Publisher: New York Business Global LLC
Date: 31-10-2020
DOI: 10.29020/NYBG.EJPAM.V13I4.3831
Abstract: 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 ex le of such type of integral equation is presented.
Publisher: Springer Science and Business Media LLC
Date: 12-2013
DOI: 10.1186/1687-1812-2013-326
Abstract: The aim of this paper is to present some coincidence point results for six mappings satisfying the generalized ( ψ , φ ) -weakly contractive condition in the framework of partially ordered G -metric spaces. To elucidate our results, we present two ex les together with an application of a system of integral equations. MSC: 47H10, 54H25.
Publisher: Springer Science and Business Media LLC
Date: 02-08-2013
Publisher: Hikari, Ltd.
Date: 2013
Publisher: Hindawi Limited
Date: 2012
DOI: 10.1155/2012/951912
Abstract: We prove a number of quadruple fixed point theorems under -contractive conditions for a mapping in ordered metric spaces. Also, we introduce an ex le to illustrate the effectiveness of our results.
Publisher: Elsevier BV
Date: 2023
DOI: 10.2139/SSRN.4559259
Publisher: Sociedade Paranaense de Matematica
Date: 2021
DOI: 10.5269/BSPM.41921
Abstract: 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.
Publisher: Hindawi Limited
Date: 2009
DOI: 10.1155/2009/283028
Abstract: The purpose of this paper is to prove the existence of fixed points of contractive mapping defined on -metric space where the completeness is replaced with weaker conditions. Moreover, we showed that these conditions do not guarantee the completeness of -metric spaces.
Publisher: International Scientific Research Publications MY SDN. BHD.
Date: 20-05-2016
Publisher: Springer Science and Business Media LLC
Date: 25-02-2019
Publisher: American Scientific Publishers
Date: 12-2016
Publisher: MDPI AG
Date: 20-04-2022
Abstract: We introduce a new pair of mappings (S,T) on D*-metric spaces called DS*-W.C. and DRS*-W.C. Many ex les 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.
Publisher: Walter de Gruyter GmbH
Date: 28-08-2017
Abstract: 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 b -complete metric space for a new contraction. Our results extend and improve some results in the literature. Moreover, some ex les are presented to illustrate the validity of our results.
Publisher: Springer Science and Business Media LLC
Date: 16-04-2009
DOI: 10.1155/2009/917175
Abstract: We prove some fixed point results for mappings satisfying various contractive conditions on Complete "Equation missing" -metric Spaces. Also the Uniqueness of such fixed point are proved, as well as we showed these mappings are "Equation missing" -continuous on such fixed points.
Publisher: MDPI AG
Date: 27-05-2022
DOI: 10.3390/NANO12111834
Abstract: 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 number, as well as Brownian motion, improved. The nanoparticle volume fraction diminishes against Prandtl number and Lewis number.
Publisher: International Scientific Research Publications MY SDN. BHD.
Date: 25-06-2016
Publisher: Elsevier BV
Date: 10-2023
Publisher: Springer Science and Business Media LLC
Date: 22-07-2014
No related grants have been discovered for Zead Mustafa.