كلية العلوم / قسم الرياضيات

سامي عاطف شكري


أستاذ مشارك
سامي عاطف شكري

Dr. Sami Shukri is an Associate Professor of Mathematics at Al-Hussein Bin Talal University, a position he has held since 2022. His passion for mathematics extends beyond the classroom, as evidenced by his active research focused on Functional Analysis, Metric Geometry, and Nonlinear Analysis. Dr. Shukri holds a Ph.D. in Mathematics, specializing in Metric Fixed Point Theory. His expertise shines through in his publications within esteemed journals, solidifying his reputation as a leading researcher in the field. He has also successfully guided Master's students towards achieving their mathematical goals. Dr. Shukri fosters a deep understanding of mathematics in his students through a variety of undergraduate and graduate courses, including Functional Analysis, Real Analysis, and Abstract Algebra. His proficiency in LATEX, Mathematica, and ICDL further enhances his ability to deliver engaging and effective instruction.

Fixed Point Theory Nonlinear Analysis Metric Topology  Functional Analysis  Metric Geometry  

On monotone nonexpansive mappings in CATp(0) spaces
  • ملخص البحث
    • In this paper, based on some geometrical properties of CATp(0) spaces, for p≥2, we obtain two fixed point results for monotone multivalued nonexpansive mappings and proximally monotone nonexpansive mappings. Which under some assumptions, reduce to coincide and generalize a fixed point result for monotone nonexpansive mappings. This work is a continuity of the previous work of Ran and Reurings, Nieto and Rodríguez-López done for monotone contraction mappings.
  • رابط البحث
  • الكلمات المفتاحية
    Fixed points Best proximity points CATp(0) spaces Partial order Contraction mappings Nonexpansive mappings Monotone mappings
The extended tanh method for solving systems of nonlinear wave equations
  • ملخص البحث
    • The extended tanh method with a computerized symbolic computation is used for constructing the traveling wave solutions of coupled nonlinear equations arising in physics. The obtained solutions include solitons, kinks and plane periodic solutions. The applied method will be used to solve the generalized coupled Hirota Satsuma KdV equation.
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Best proximity points in the Hilbert ball
  • ملخص البحث
    • Best proximity points in the Hilbert ball (JNCA). Volume 17. Number 6. pp. 1083-1094. Best proximity points in the Hilbert ball. Abdul Rahim Khan and Sami Atif Shukri, Key words, Mathematices Subject Classification. Hilbert ball, Best proximity point, coupled best proximity point, nonexpansive mapping, firmly nonexpansive mapping, Primary 47H10, 54H25; Secondary 47H09, 46C20. ONLINE SUBSCRIPTION (Library Only) PDF, PDF. Open Access: until 31 OCT. (Free) Flash, Flash. Copyright© 2016 Yokohama Publishers, For Editor, For Authors.
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Soliton Solutions of the Kaup-Kupershmidt and Sawada-Kotera Equations
  • ملخص البحث
    • In this paper I seek soliton solutions of two-component generalizations of the Kaup-Kupershmidt and Sawada-Kotera equations, for this purpose I will apply the extended tanh method. The extended tanh method with a computerized symbolic computation, is used for constructing the travelling wave solutions of coupled nonlinear equations arising in physics. The obtained solutions include soliton, kink and plane periodic solutions. KeyWords: Soliton Solutions; Kaup-Kupershmidt Equation; Sawada-Kotera Equation
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  • الكلمات المفتاحية
Best proximity points in partially ordered metric spaces
  • ملخص البحث
    • The existence of best proximity point is an important aspect of optimization theory. We define the concept of proximally monotone Lipschitzian mappings on a partially ordered metric space. Then we obtain sufficient conditions for the existence and uniqueness of best proximity points for these mappings in partially ordered CAT (0) spaces. This work is a continuation of the work of Ran and Reurings [Proc. Amer. Math. Soc. 132 (2004), 1435–1443] and Nieto and Rodr ıguez-López [Order, 22 (2005), 223–239] for the new class of mappings introduced herein.
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  • الكلمات المفتاحية
Existence and convergence of best proximity points in CATp(0) spaces
  • ملخص البحث
    • In this work, we study existence and convergence of best proximity points of a cyclic contraction mapping in a complete CATp(0) metric space, with p≥2. The case of coupled best proximity points of a pair of cyclic contraction mappings is also discussed. As an application, we provide sufficient conditions to obtain an extension of the Banach Contraction Principle for coupled fixed points.
  • رابط البحث
  • الكلمات المفتاحية
    Best proximity points coupled best proximity points fixed points coupled fixed points CATp(0) spaces contraction mappings cyclic contraction mappings
Fixed points of discontinuous mappings in uniformly convex metric spaces
  • ملخص البحث
    • Some fixed point theorems for discontinuous mappings in Banach spaces by Berinde and Pacurar [Fixed point theorems for non-self single-valued almost contractions, Fixed Point Theory 14 (2013), 301-311] and Kirk [Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type, Israel J. Math. 17 (1974), 339-346] are extended to uniformly convex metric spaces.
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  • الكلمات المفتاحية
Generalized CAT (0) spaces
  • ملخص البحث
    • We extend the Gromov geometric definition of CAT (0) spaces to the case where the comparison triangles are not in the Euclidean plane but belong to a general Banach space. In particular, we study the case where the Banach space is , for .
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Viscosity approximation method for generalized asymptotically quasi-nonexpansive mappings in a convex metric space
  • ملخص البحث
    • A general viscosity iterative method for a finite family of generalized asymptotically quasi-nonexpansive mappings in a convex metric space is introduced. Special cases of the new iterative method are the viscosity iterative method of Chang et al. (Appl. Math. Comput. 212:51-59, 2009), an analogue of the viscosity iterative method of Fukhar-ud-din et al. (J. Nonlinear Convex Anal. 16:47-58, 2015) and an extension of the multistep iterative method of Yildirim and Özdemir (Arab. J. Sci. Eng. 36:393-403, 2011). Our results generalize and extend the corresponding known results in uniformly convex Banach spaces and spaces simultaneously.
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Browder and Göhde fixed point theorem for G-nonexpansive mappings
  • ملخص البحث
    • In this paper, we prove the analog to Browder and Göhde fixed point theorem for G-nonexpansive mappings in complete hyperbolic metric spaces uniformly convex. In the linear case, this result is refined. Indeed, we prove that if X is a Banach space uniformly convex in every direction endowed with a graph G, then every G-nonexpansive mapping T: A→ A, where A is a nonempty weakly compact convex subset of X, has a fixed point provided that there exists u0∈ A such that T (u0) and u0 are G-connected. c 2016 All rights reserved.
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Existence and convergence of best proximity points in CATp(0) spaces
  • ملخص البحث
    • In this work, we study existence and convergence of best prox-imity points of a cyclic contraction mapping in a complete CATp(0)metric space, with p ≥ 2. The case of coupled best proximity points of apair of cyclic contraction mappings is also discussed. As an applicati on,we provide sufficient conditions to obtain an extension of the BanachContraction Principle for coupled fixed points.
  • رابط البحث
  • الكلمات المفتاحية
    Best proximity points, coupled best proximity points, fixed points, coupled fixed points, CATp (0) spaces, contraction mappings, cyclic contraction mappings.
Implicit Ishikawa Type Algorithm in Hyperbolic Spaces
  • ملخص البحث
    • Strong convergence and△-convergence of an implicit Ishikawa type algorithm associated with two nonexpansive mappings on a hyperbolic metric space is established.
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Geometrical properties of lp spaces
  • ملخص البحث
    • In this work, some geometrical properties of Hilbert spaces are investigated in lp spaces, for p ≥ 2. As an application, we obtain an extension of the Banach Contraction Principle for best proximity points. The case of nonexpansive mappings is also discussed.
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  • الكلمات المفتاحية
    Best proximity points, fixed points, lp spaces, P-property, contraction mappings, nonexpansive mappings, uniformly convex, strictly convex reflexive, proximinal sets.

 The 4th International Workshop on Fixed Point Theory & Applications, organized  by the Fixed Point Theory and Applications Research Group. December 22-24, 2014.  King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia. ( attended )  The 5th International Workshop on weak sharp minima in optimization, organized  by the Fixed Point Theory and Applications Research Group. December 14-15, 2015.  King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia.( attended )

 Quality and academic accreditation at Al-Hussein Bin Talal University, May 2021, Ma'an, Jordan, workshop attender      

Quality and academic accreditation,  committee president  Quality and academic accreditation, committee member  

  Alia Jebreel Abu Darweesh (Master Student), Fixed points of Suzuki generalized Nonexpansive Mappings in CAT p (0) Spaces , Al-Hussein Bin Talal University, 2021-2022

  Ph.D. Assistantship from 2012 to 2016, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia   M.Sc. Assistantship , from 2008 to 2010 Jordan University of Science & Technology, Irbid, Jordan

2019–Present  Assistant Professor , Al-Hussein Bin Talal University, Ma’an, Jordan 2016–2019   Assistant Professor , Amman Arab University, Amman, Jordan 2012–2016   Lecturer , King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia 2011–2012   Lecturer , King Khaled University, Abha, Saudi Arabia 2010–2011   Lecturer , King Saud University, Riyadh, Saudi Arabia

Pure Mathematics 

  Functional Analysis/ M.Sc   Functional Analysis/ B.Sc  Mathematical Analysis  Abstract Algebra  Number Theory  Graph Theory  Modern Euclidean Geometry   Non-Euclidean Geometry  Logic and Set Theory   Advanced Engineering Mathematics  Calculus   Applied Calculus   Physics; Mechanics   History of Mathematics

PhD Thesis Topic : Functional Analysis and Metric Geometry Title : Fixed Point Theory of  Nonexpansive Mappings in Hyperbolic  Spaces   Supervisors : Professor A. R. Khan & Professor M. A. Khamsi Abstract : In this thesis, we establish analogues of classical theory of nonexpansive mappings in  hyperbolic spaces. Some fundamental fixed point results in partially ordered Banach  spaces are extended to hyperbolic spaces. A new characterization of reflexive and  strictly convex Banach spaces is established. We also discuss this characterization  in hyperbolic spaces. An extension of the Banach Contraction Principle for best  proximity points in CAT(0) spaces is obtained. Moreover, the case of nonexpansive  mappings is also discussed in this setting. An extension of the Gromov geometric  definition of CAT(0) spaces is introduced. Finally, iterative approximation of  common fixed points of nonexpansive and quasi-nonexpansive mappings defined on  convex metric spaces is studied 

المؤهلات العلمية و الشهادات

  Ph.D. in Mathematics , 2016,  King Fahd University of Petroleum &  minerals, Dhahran,  Saudi Arabia     M.Sc. in Mathematics , 2010, Jordan University of Science &Technology, Irbid, Jordan   B.Sc. in Mathematics , 2007,Yarmouk University, Irbid, Jordan

الساعات المكتبية

Sunday-Thursday, 10-11 am   

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