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Curriculum Vitae

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Ştefan M. Şoltuz
Curriculum Vitae

Personal Data

Date of birth January 13, 1973
Civil status Married

Education background:

2005 Ph.D. in mathematics with honours at Faculty of Mathematics and Computer Science, "Babeş-Bolyai" University, Cluj
1995-1996 Master degree with honours at Faculty of Mathematics and Computer Science, "Babeş-Bolyai" University, Cluj-Napoca
1991-1995 Faculty of Mathematics and Computer Science, "Babeş-Bolyai" University, Cluj-Napoca.

Additional education:

2001-2004 Sandwich Ph. D. Program, for 34 months, in University of Kaiserslautern, at Fraunhofer-Institute fuer Techno und Wirtschaft Mathematik (ITWM), Kaiserslautern, Germany.

Working experience:

1996 - 1997high school teacher.
1998 - 2005research assistant, "Tiberiu Popoviciu" Institute of Numerical Analysis, Cluj-Napoca, Romanian Academy
2005 - presentscientific researcher III, "Tiberiu Popoviciu" Institute of Numerical Analysis, Cluj-Napoca, Romanian Academy
Aug. 2007- May 2008Assistant Professor at Universidad de los Andes (Colombia)

Teaching experience:

Aug. 2007-May 2008Assistant Professor at Universidad de los Andes, teaching Numerical Methods (with Matlab), Differential Equations, Calculus and Linear Algebra.
Fall 1999-Spring 2000Math M 211 and M 212 (Calculus): Adjunct Assistant Professor at Babes-Bolyai University, Introduction to Mathematical Analysis for students from Chemical Engineering and Chemistry.
Fall 2003Math M311: Adjunct Assistant Professor at Kaiserslautern University, Functions of several variable, ODE, Minimum and Maximum problems,limits, integration (Analysis I and II).

Publications

  1. Ş.M. Şoltuz, Inverse problems for quasicontractive maps, Rev. Anal. Numer. Theor. Approx., 38 (2009), no. 2, pp. 79-83.
  2. Ştefan M. Şoltuz, Solving inverse problems via hemicontractive maps, Nonlinear Analysis 71 (2009), 2387-2390.
  3. Ştefan M. Şoltuz, Solving inverse problems via weak-contractive maps, Rev. Anal. Numer. Theor. Approx., Tome 37, No 2, 2008, pp. 217-220.
  4. Ştefan M. Şoltuz , The equivalence between T-stabilities of Krasnoselskij and Ishikawa iterations, Rev. Anal. Numer. Theor. Approx.,Tome 37, No 1, 2008.
  5. S.M. Şoltuz, The equivalence between the T-stabilities of Picard-Banach and Mann-Ishikawa iterations. Applied Math. E-Notes, 8 (2008), 109-114.
  6. S.M., Şoltuz, T. Groşan, Data dependence for Ishikawa iteration when dealing with contractive-like operators, Fixed Point Theory Appl. 2008, article ID 242916.
  7. S.M. Şoltuz, B.E. Rhoades, Characterization for the convergence of Krasnoselskij iteration for non-Lipschitzian operators, Int. J. Math. Math. Sci. 2008, article ID 630589.
  8. S.M. Şoltuz, The equivalence between the stabilities of Picard-Banach and Mann-Ishikawa iterations, Appl. Math. E-Notes 8 (2008), 109-114.
  9. Ştefan M. Şoltuz, D. Otrocol, Classical results via Mann-Ishikawa iteration, Revue d'Analyse Numerique de l'Approximation, 2007, Vol. 36, no. 2, 2007.
  10. Ştefan M. Şoltuz, D. Otrocol, The convergence of Mann iteration with delay, Mathematical Sciences Research, 2007, Vol. 11, no. 3, pp. 390-393.
  11. Ştefan M. Şoltuz, The convergence of modified Mann-Ishikawa iterations when applied to an asymptotically pseudocontractive map, Austral. J.Math Anal. Appl. (2007) accepted.
  12. Ştefan M. Şoltuz, The equivalence between Krasnoselskij, Mann, Ishikawa, Noor and Multistep Iterations, Math. Commun. 12 (2007): 1, 53-61.
  13. Ştefan M. Şoltuz, The equivalence between T-stabilities of the Krasnoselskij and the Mann iterations, Fixed Point Theory and Applications, (2007) accepted.
  14. B. E. Rhoades, Ştefan M . Şoltuz, The equivalence between T-stabilities of Mann and Ishikawa iterations, J. Math. Anal. Appl. 318 (2006), 472-475.
  15. B. E. Rhoades, Ştefan M . Şoltuz, The convergence of an implicit mean value iteration, Int. J. Math. Math. Sci. 2006 ID 68369.
  16. B. E. Rhoades, Ştefan M. Şoltuz, The equivalence of Mann and Ishikawa iterations dealing with uniformly pseudocontractive maps without bounded range, Tamkang J. Math. 37 (3) (2006).
  17. B. E. Rhoades and Ştefan M. Şoltuz, The equivalence between Mann and Ishikawa iterations dealing with generalized contractions, Int. J. Math. Math. Sci. 2006, article ID 54653.
  18. Ştefan M. Şoltuz, Errors estimation for implicit Mann iteration, Revue ANTA 35:1 (2006), 117-118.
  19. B. E. Rhoades and Ştefan M. Şoltuz, The equivalence between the Krasnoselskij, Mann and Ishikawa iterations, to appear in Revue ANTA (2006):2.
  20. Ştefan M. Şoltuz, The equivalence between the T-stabilities of modified Mann-Ishikawa and Mann-Ishikawa iterations, to appear in Revue ANTA (2006):2.
  21. B. E. Rhoades, Ştefan M. Şoltuz , The convergence of mean value iteration for a family of maps, Int. J. Math. Math. Sci. 2005: 21, 3479-3485.
  22. B. E. Rhoades and Ştefan M. Şoltuz, The convergence of a multistep iteration for a family of maps, Int. J. Math. & Math. Sci. (accepted for publication), http://www.hindawi.com/journals/ijmms/forthcoming/S0161171205501054.html.
  23. Ştefan M. Şoltuz, The equivalence of Picard, Mann and Ishikawa iterations dealing with quasi-contractive operators, Math. Commun. 10 (2005), 81-88.
  24. B. E. Rhoades and Ştefan M. Şoltuz, The class of asymptotically demicontractive maps is a proper subclass of asymptotically pseudocontractive maps, PanAmerican Mathematical Journal Volume 16(2006), Number 2 (accepted for publication).
  25. B. E. Rhoades and Ştefan M. Şoltuz, Mean value iteration for a family of functions, Nonlinear Funct. Anal. & Appl., Vol. 10, No. 3 (2005), pp. 387 - 401.
  26. Ştefan M. Şoltuz, The equivalence of Picard, Mann and Ishikawa iterations dealing with quasi-contractive operators, Math. Commun. 10 (2005), 81-88.
  27. Ştefan M. Şoltuz, New technique for proving the equivalence of Mann and Ishikawa iterations, Rev. Anal. Numer. Theor. Approx., 34: 1(2005), 103-108.
  28. B. E. Rhoades and Ştefan M. Şoltuz, The Mann and Ishikawa iterations and the Mann-Ishikawa with errors are equivalent models dealing with a non-Lipschitzian map, Rev. Anal. Numer. Theor. Approx., 34:2 (2005), 181-193.
  29. Ştefan M. Şoltuz, On the boundedness of the associated sequence of Mann iteration for several operator classes with applications, Rev. Anal. Numer. Theor. Approx., 34:2 (2005), 227-232.
  30. Ştefan M. Şoltuz, A remark concerning the paper "An equivalence between the convergence of Ishikawa, Mann and Picard iterations", Rev. Anal. Numer. Theor. Approx. 33 (2004), 95-96.
  31. B.E. Rhoades and Ştefan M. Şoltuz, The equivalence of Mann and Ishikawa iterations dealing with strongly pseudocontractive or strongly accretive maps, PanAmerican Mathematical Journal, 14 (2004), Number 4, 51-59.
  32. B. E. Rhoades and Ştefan M. Şoltuz, The Equivalence Between Mann-Ishikawa Iterations and Multistep Iteration, Nonlinear Analysis 58 (2004), 219-228.
  33. B. E. Rhoades and Ştefan M. Şoltuz, The equivalence of Mann and Ishikawa iteration for a Lipschitzian psi-uniformly pseudocontractive and psi-uniformly accretive Map, Tamkang J. Math. 35 (2004), 235-245.
  34. B. E. Rhoades and Ştefan M. Şoltuz, The Equivalence of Mann Iteration and Ishikawa Iteration for psi-uniformly Pseudocontractive or psi-uniformly Accretive Maps, Internat. J. Math. Sci. 2004: 46, 2443-2452.
  35. B. E. Rhoades and Ş. M. Şoltuz, The equivalence between the convergences of Ishikawa and Mann iterations for asymptotically nonexpansive in the intermediate sense and strong successively pseudocontractive maps, J. Math. Anal. Appl. 289 (2004), 266-278.
  36. Ştefan M. Şoltuz, Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models, Math. Commun. 8 (2003):2, 139-151.
  37. B. E. Rhoades and Ştefan M. Şoltuz, The equivalence between the convergences of Ishikawa and Mann iterations for asymptotically pseudocontractive Map, J. Math. Anal. Appl. 283 (2003), 681-688.
  38. B. E. Rhoades and Ştefan M. Şoltuz, The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators, Internat. J. Math. Math. Sci. 2003 (42), 2645-2652.
  39. B. E. Rhoades and Ştefan M. Şoltuz, On the equivalence of Mann and Ishikawa iteration methods, Internat. J. Math. Math. Sci. 2003 (7),451-459.
  40. Ştefan M. Şoltuz, A correction for a result on convergence of Ishikawa iteration for strongly pseudocontractive maps, Math. Commun. 7 (2002): 1, 61-64.
  41. Ştefan M. Şoltuz, Mann iteration for direct pseudocontractive maps, Bull. Stiint. Univ. Baia Mare, Ser.B, Fasc. Mat.-Inform. 17 (2001) No.1-2, 141-144.
  42. Ştefan M. Şoltuz, Mann iteration for generalized pseudocontractive maps in Hilbert spaces, Math. Commun. 6 (2001):1, 97-100.
  43. Ştefan M. Şoltuz, Sequence Supplied by Inequalities and an application, (Co- Editors Yeol Je Cho, Jong Kyu Kim, Sever S. Dragomir, Inequality Theory and Applications vol. 2, Nova Publishers Inc. New York 2002, USA).
  44. Ştefan M. Şoltuz, Sequences Supplied by Inequalities, Revue d'analyse numerique et de theorie de l'approximation 29 (2000):2, 207-212.
  45. Ştefan M. Şoltuz, The Backward Mann iteration, OCTOGON Math. Mag. 9 (2001):2, 797-800.
  46. Ştefan M. Şoltuz, Three proofs for the convergence of a sequence, OCTOGON Math. Mag. 9 (2001):1, 503-505.
  47. Ştefan M. Şoltuz, Characterization of Inner Product Spaces, OCTOGON Math. Mag. 9 (2001):1, 482-487.
  48. Ştefan M. Şoltuz, The multivalued form of a classic result}, OCTOGON Math. Mag. 7 (1999):2, 97-98.
  49. Ştefan M. Şoltuz, Upon the convergence of subconvex sequences, OCTOGON Math. Mag .6 (1998):2, 120-121.

Computer experience

  • Operating systems: Windows, Linux
  • Programming languages: Matlab
  • Word-processing languages: Scientific Work Place

Languages

English (fluent), French (fluent), German (fluent), Italian (fluent).

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Last update February 2010