Kourosh Nourouzi Associate Professor Department of Mathematics, K. N. Toosi University of Technology, P.O.box 16315-1618, Tehran, Iran. Fax : (+98)21-22853650 E-mail : nourouzi{at}kntu.ac.ir Phone number : (+98) 21- 22853884

   

To many, mathematics is a collection of theorems. For me, mathematics is a collection of examples; a theorem is a statement about a collection of examples and the purpose of proving theorems is to classify and explain the examples... (John B. Conway)                   The essence of mathematics is its freedom. (George Cantor) Mathematics knows no races or geographic boundaries; for mathematics, the cultural world is one country. (David Hilbert)

 

 

Associate Researcher 

Visiting Researcher

    Department of Mathematics, University of Regina, Canada (2000)

                                     

Field                             Functional Analysis

Research Interests     Fixed Point Theory, Set-valued Analysis,   Modular Spaces, C*-Algebras, Probabilistic Normed Spaces

 

Selected Conferences

• Fixed point property for nonexpansive mappings in C*-algebras. The 8th International ISAAC Congress, Russia, Moscow, Aug. 22- 27 , 2011.

• An order theoretic approach to modular fixed point theorems. International Conference on Mathematical Analysis 2010(ICMA 2010),  Bangkok, Thiland, December 7--9, 2010.

• Ultrametric fixed point theory. The first workshop in fixed point theory and applications.  Amirkabir University, Tehran, Iran, June 9-10 (2010).

•   Baire’s Theorem in  probabilistic modular spaces. The world congress on engineering and applied mathematics.  Imperial College, London, U.K., July 2--4, 2008.  

• The probabilistic modular spaces. 6^th ISAAC Congress. Middle East Technical University, Ankara, Turkey. August 13--18, 2007.

•  Barcelona Analysis Conference. University of Barcelona, Barcelona, Spain. September 4--8, 2006.

• Compact operators in probabilistic normed spaces. Operator Algebras, Operator Theory and Applications.  Instituto Superior Tecnico, Universidade Tecnica de Lisboa, Lisbon, Portugal. September 1--5, 2006.

• Exposed points in the set of completely positive maps.  Banach Algebras 2005. Bordeaux, France. July 3--13, 2005.

• On the completely positive maps. 35th Annual Iranian Mathematics Conference.  Ahvaz. January 26-- 29, 2005.

•  Exposed points and completely positive maps. Third Seminar on Linear Algebra and its Applications.   Kerman. December 28--29, 2004.

• The geometric properties in the set of completely positive maps. International Conference in Analysis and its Applications. Nanjing University, China. July 20--24, 2004.

•  On the geometric properties of completely positive maps. 4th European Congress of Mathematics. Stockholm, Sweden. June 27--July 2, 2004.

•  The geometry of some tensor product spaces. Canadian Operator Algebra Symposium.  University of New Brunswick, Canada. May 21--24, 2003.

• Extreme and exposed points in the unit balls. 33th Annual Iranian Mathematics  Conference, Ferdowsi University of Mashhad, Mashad. August 30--September  2, 2002.

 

Journal Publications

K. Nourouzi, On the Regular Cosine Family of Linear Correspondences, Aequationes Mathematicae , ( 2012), pp. 1-7., doi:10.1007/s00010-011-0112-z ( Joint with M. Aghajani).

K. Nourouzi, Modular locally constant mappings in vector ultrametric spaces. Abstract and Applied Analysis, Vol. 2011 (2011), Article ID 574756, 8 pages, doi: 10.1155/2011/574765 (Joint with K. Fallahi).

K. Nourouzi,  On the fixed points of correspondences in modular spaces. ISRN Geometry, vol. 2011,  2011. doi:10.5402/2011/530254 (Joint with F. Lael)

K. Nourouzi, Fixed points of correspondences defined on cone metric spaces. Computer and Mathematics with Applications. Vol. 60, No. 3,  (2010)653-659 (Joint with Z. Izadi).

K. Nourouzi, A Note on the Paper “Charactrerizatios on 2-Isometries”. Int. J. Open Problems Compt. Math., Vol. 2, No. 4, Dec. (2009) (Joint with H. Abbassi).

K. Nourouzi, Compact operators defined on 2-normed and 2-probabilistic normed spaces. Mathematical Problems in Engineering.  Volume 2009, Article ID 950234, 17 pages.Doi:10.1155/2009/950234 ( Joint with F. Lael).

K. Nourouzi, On the convexity of fuzzy nets. Chaos, Solitons & Fractals. 40 (2009) 1356-1360.

K. Nourouzi, Probabilistic modular spaces, WSPC Proceedings, December (2008), 814- 818.

K. Nourouzi, Operators defined on n-modular spaces, Mediterranean Journal of Mathematics, 6 (2009), 431--446 (Joint with S. Shabanian)

K. Nourouzi, Probabilistic modular spaces and linear operators. Acta Applicanda Mathematicae. 105, (2009), 123-140 (Joint paper with K. Fallahi).

K. Nourouzi, Compact operators between probabilistic normed spaces. Operator Theory: Advances and Applications. Vol. 181 (2008),  347-354.  

K. Nourouzi, Some results on IF-normed spaces. Chaos, Solitons & Fractals. 37(3), (2008), 931-939 (Joint paper with F. Lael).

K. Nourouzi, The Geometry of the Unit Ball of Some Tensor Product Spaces. Applied Mathematics Letters, 20 (4), 2007, 401-404.

K. Nourouzi, Fuzzy compact linear operators. Chaos, Solitons & Fractals.  34 (2007) 1584-1589.(Joint paper with F. Lael)

K. Nourouzi, Convex sets in probabilistic normed spaces. Chaos, Solitons & Fractals. 36(2), (2008), 322-328 (Joint paper with A. Aghajani). 

K. Nourouzi, Convexity in traingular norm of fuzzy sets. Chaos, Solitons & Fractals. 36(4),  (2008), 883-889 (Joint paper with A. Aghajani).

K. Nourouzi, On the state space of C*-algebras. Journal of Mathematical Analysis  and Applications. 275 (2002) no. 1. 161-164.

K. Nourouzi, Strongly exposed points in the unit ball of trace class operators. International  Journal of Mathematics and Mathematical Sciences. 30 (2002) no. 7. 393-397.

 

Reviewer of the journals

Applied Mathematics Letters

Journal of Computational and Applied Mathematics

Mathematical & Computer Modelling

Computer & Mathematics with Applications

Fuzzy Sets and Systems

Iranian Journal of Fuzzy Systems   

Bulletin of the Malaysian Mathematical Sciences Society

Fixed Point Theory and Applications

Graduate Students

 

MSc:     F. Lael,  (Sep.2006) S. Vaezzadeh, (Sep. 2007) K. Fallahi,  (Nov. 2007) S. Jahani,  (Feb. 2008) S. Shabanian,  (Oct. 2008) B. Hedayatfar, (Nov. 2008) H. Adman, (Mar. 2009) H. Abbasi, (Feb. 2009) N. Rezabandehloo, (Sep. 2009) E. Jafari, (Oct. 2009) Z. Izadi, (Oct. 2009)

A. Aghaniance, (Sep. 2010) R. Mokhtar, (Feb. 2011) I. Mehrabinejad, (Mar. 2011) M. M. Khatibi, (Feb.2011) M. Manavi, (Nov. 2011) S. Abdoli, (Jan. 2012) N. Ashghaei, (Jan. 2012) K. Shamsolkottabi (Feb. 2012) F. Ghasemi, (in progress) M. Dinarvand, (in progress) A. Broumandnia, (in progress)

PhD:    F. Lael, (in progress) K. Fallahi, (in progress) M. Aghajani, (in progress) A. Aghaniance, (in progress)

Teaching Schedule

 

Semester II,   2011-2012

Fixed Point Theory (MSc), Sunday and Tuesday  afternoons (15:30--17:00).

Introductory Mathematical Analysis  (BSc), Sunday and Tuesday  afternoons (13:00--15:00).

Semester I,   2011-2012

Banach Algebras (MSc), Sunday and Tuesday  afternoons (15:30--17:00).

Mathematical Analysis I (BSc), Sunday and Tuesday  afternoons (13:30--15:00).

                
Courses Taught

Topology, Analysis I, II, III, Calculus I, II, Ordinary Differential Equations, Real Analysis, Complex Analysis, Functional Analysis(I,II), Operator Theory(I, II),

C*-Algebras (I, II), Applied Functional Analysis, Banach Algebras, Fixed point theory.

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