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SÁNDOR ZOLTÁN NÉMETH

LIST OF PUBLICATIONS

 

Authored Books

  1. ISAC, G. - NÉMETH, S. Z.: Scalar and Asymptotic Scalar Derivatives. Theory and Applications. Springer Optimization and its Applications, 13, Springer, New York, 2008. https://doi.org/10.1007/978-0-387-73988-5

Authored Book Chapters

  1. NÉMETH, A. B. - NÉMETH, S. Z.: Lattice-like subsets of Euclidean Jordan Algebras, in Essays in Mathematics and its Applications, in honor of Vladimir Arnold, ed.: Panos M. Pardalos and Th. M. Rassias, 159-179, Springer, [Cham], 2016. https://doi.org/10.1007/978-3-319-31338-2_8
  2. ABBAS, M. - NÉMETH, S. Z.: Isotone Projection Cones and Nonlinear Complementarity Problems, in Nonlinear Analysis. Approximation Theory, Optimization and Applications, 323-347, ed.: Qamrul Hasan Ansari, Trends in Mathematics, Birkhaüser, Springer India 2014. In memory of Prof. S. P. Singh. https://doi.org/10.1007/978-81-322-1883-8_10
  3. NÉMETH, A. B. - NÉMETH, S. Z.: Isotone Retractions onto the Positive Cone of the Ordered Euclidean Space, in Mathematics Without Boundaries: Surveys in Pure Mathematics, 381-396, eds.: P. M. Pardalos and Th. M. Rassias, Springer 2014. https://doi.org/10.1007/978-1-4939-1106-6_16
  4. ISAC, G. - NÉMETH, S. Z.: Mean Value Theorems for the Scalar Derivative and Applications, in Nonlinear Analysis and Variational Problems, 325-341, eds.: P. M. Pardalos, Th. M. Rassias, and A. A. Khan, Springer Optimization and its Applications, 35, Springer, New York, 2010. In honor of George Isac. https://doi.org/10.1007/978-1-4419-0158-3_22

Articles in Academic Journals

  1. BERGMANN, R. - FERREIRA, O. P. - NÉMETH, S. Z. - ZHU, J.: On projection mappings and the gradient projection method on hyperbolic space forms. IMA Journal of Numerical Analysis, (2025). https://doi.org/10.1093/imanum/draf097
  2. NÉMETH, A. B.- NÉMETH, S. Z.: About the Kernel of the strongly quasiconvex function generated projection. Optimization, (2025). https://doi.org/10.1080/02331934.2025.2591211
  3. BOLTON, R. - NÉMETH, S. Z.: Why study spherical convexity of non-homogeneous quadratics and what makes it surprising. Journal of Optimization Theory and Applications, 205(12):1-25, (2025). https://doi.org/10.1007/s10957-025-02620-9
  4. GAO, Y. - FERREIRA, O. P. - NÉMETH, S. Z. - RIGÓ, P. R.: Gradient projection method on the sphere, complementarity problems and copositivity. Journal of Global Optimization, 90:1-25, 2024. https://doi.org/10.1007/s10898-024-01390-4
  5. FERREIRA, O. P. - NÉMETH, S. Z. - ZHU, J.: Convexity of Sets and Quadratic Functions on the Hyperbolic Space. Journal of Optimization Theory and Applications, 202: 421-455, (2024). https://doi.org/10.1007/s10957-022-02073-4
  6. FERREIRA, O. P. - NÉMETH, S. Z. - ZHU, J.: Convexity of Non-homogeneous Quadratic Functions on the Hyperbolic Space. Journal of Optimization Theory and Applications, 199: 1085-1105, (2023). https://doi.org/10.1007/s10957-023-02332-y
  7. GAO, Y. - FERREIRA, O. P. - NÉMETH, S. Z.: Reducing the projection onto the monotone extended second-order cone to the pool-adjacent-violators algorithm of isotonic regression. Optimization, 73(2): 251-265, (2022). https://doi.org/10.1080/02331934.2022.2103415
  8. NÉMETH, A.B - NÉMETH, S. Z.: Isotone projections and their applications (in Hungarian). Alkalmazott Matematikai Lapok, 39(2): 1-11 (2022)
  9. GAO, Y. - NÉMETH, S. Z. - SZNAJDER, R.: The monotone extended second order cone and mixed complementarity problems. Journal of Optimization Theory and Applications, 193: 381-407 (2022). https://doi.org/10.1007/s10957-021-01962-4
  10. FERREIRA, O. P. - NÉMETH, S. Z. - XIAO, L.: On the spherical quasi-convexity of quadratic functions on spherically subdual convex sets. Journal of Optimization Theory and Applications, 187: 1-21 (2020). https://doi.org/10.1007/s10957-020-01741-7
  11. NÉMETH, S. Z. - XIE, J. - ZHANG, G.: Positive operators on extended second order cones. Acta Mathematica Hungarica, 160: 390-404 (2020). https://doi.org/10.1007/s10474-019-01011-7
  12. NÉMETH, S. Z. - GOWDA, M.S.: The cone of Z-transformations on the Lorentz cone. Electronic Journal of Linear Algebra, 35: 387-393 (2019). https://doi.org/10.13001/1081-3810.4083
  13. FERREIRA, O. P. - NÉMETH, S. Z. - XIAO, L.: On the spherical quasi-convexity of quadratic functions. Linear Algebra and its Applications, 562: 205-222 (2019). https://doi.org/10.1016/j.laa.2018.10.011
  14. FERREIRA, O. P. - NÉMETH, S. Z.: On the spherical convexity of quadratic functions. Journal of Global Optimization (2018). https://doi.org/10.1007/s10898-018-0710-6
  15. NÉMETH, S. Z. - XIAO, L.: Linear Complementarity Problems on Extended Second Order Cones. Journal of Optimization Theory and Applications, 176(2): 269-288 (2018). https://doi.org/10.1007/s10957-018-1220-x
  16. FERREIRA, O. P. - NÉMETH, S. Z.: How to project onto extended second order cones. Journal of Global Optimization, 70(4): 707-718 (2018). https://doi.org/10.1007/s10898-017-0587-9
  17. BELLO CRUZ, J.Y. - FERREIRA, O. P. - NÉMETH, S. Z. - PRUDENTE, L.F.: A semi-smooth Newton method for projection equations and linear complementarity problems with respect to the second order cone. Linear Algebra and its Applications, 513: 160-181 (2017). https://doi.org/10.1016/j.laa.2016.10.007
  18. BARRIOS, J.G. - BELLO CRUZ, J.Y. - FERREIRA, O. P. - NÉMETH, S. Z.: A semi-smooth Newton method for a special piecewise linear system with application to positively constrained convex quadratic programming. Journal of Computational and Applied Mathematics, 301(1): 91-100 (2016). http://dx.doi.org/10.1016/j.cam.2016.01.040
  19. NÉMETH, A. B. - NÉMETH, S. Z.: Isotonic regression and isotonic projection. Linear Algebra and its Applications, 494: 80-89 (2016). https://doi.org/10.1016/j.laa.2016.01.006
  20. NÉMETH, S. Z. - ZHANG, G.: Extended Lorentz cones and variational inequalities on cylinders. Journal of Optimization Theory and Applications, 168(3): 756-768 (2016). https://doi.org/10.1007/s10957-015-0833-6
  21. BARRIOS, J.G. - FERREIRA, O. P. - NÉMETH, S. Z.: Projection onto simplicial cones by Picard's method. Linear Algebra and Applications, 480(1): 27-43 (2015). https://doi.org/10.1016/j.laa.2015.03.040
  22. NÉMETH, S. Z. - ZHANG, G.: Extended Lorentz cones and mixed complementarity problems. Journal of Global Optimization, 62(3): 443-457 (2015). https://doi.org/10.1007/s10898-014-0259-y
  23. FERREIRA, O. P. - NÉMETH, S. Z.: Projection onto simplicial cones by a semi-smooth Newton method. Optimization Letters, 9(4): 731-741 (2015). https://doi.org/10.1007/s11590-014-0775-1
  24. FERREIRA, O. P. - IUSEM, A.N. - NÉMETH, S. Z.: Concepts and techniques of optimization on the sphere. TOP, 22(3): 1148-1170 (2014). https://doi.org/10.1007/s11750-014-0322-3
  25. GUYADER, A. - JÉGOU, N. - NÉMETH, A. B. - NÉMETH, S. Z.: A geometrical approach to iterative isotone regression. Applied Mathematics and Computation, 227: 359-369 (2014). https://doi.org/10.1016/j.amc.2013.11.048
  26. NÉMETH, S. Z.: A duality between the metric projection onto a convex cone and the metric projection onto its dual in Hilbert spaces. Nonlinear Analysis: Theory, Methods & Applications, 97: 1-3 (2014). https://doi.org/10.1016/j.na.2013.11.013
  27. FERREIRA, O. P. - IUSEM, A.N. - NÉMETH, S. Z.: Projections onto convex sets on the sphere. Journal of Global Optimization, 57(3): 663-676 (2013). https://doi.org/10.1007/s10898-012-9914-3
  28. NÉMETH, A. B. - NÉMETH, S. Z.: Lattice-like operations and isotone projection sets. Linear Algebra and its Applications, 439(10): 2815-2828 (2013). https://doi.org/10.1016/j.laa.2013.08.032
  29. ABBAS, M. - KHAN, A.R. - NÉMETH, S. Z.: Complementary problems and common fixed points in vector lattices. Fixed Point Theory and Applications, 2012:60, 13 pp. (2012). https://doi.org/10.1186/1687-1812-2012-60
  30. NÉMETH, A. B. - NÉMETH, S. Z.: A duality between the metric projection onto a convex cone and the metric projection onto its dual. Journal of Mathematical Analysis and Applications, 392(2): 171-178 (2012). https://doi.org/10.1016/j.jmaa.2012.03.019
  31. ABBAS, M. - NÉMETH, S. Z.: Implicit complementarity problems on isotone projection cones. Optimization, 61(6): 765-778 (2012). https://doi.org/10.1080/02331934.2011.641019
  32. FERREIRA, O. P. - NÉMETH, S. Z.: Generalized isotone projection cones. Optimization, 61(9): 1087-1098 (2012). https://doi.org/10.1080/02331934.2010.538057
  33. FERREIRA, O. P. - NÉMETH, S. Z.: Generalized projections onto convex sets. Journal of Global Optimization, 52(4): 831-842, (2012). https://doi.org/10.1007/s10898-011-9714-1
  34. ABBAS, M. - NÉMETH, S. Z.: Finding solutions of implicit complementarity problems by isotonicity of the metric projection. Nonlinear Analysis: Theory, Methods & Applications, 75(4): 2349-2361, (2012). https://doi.org/10.1016/j.na.2011.10.033
  35. ABBAS, M. - NÉMETH, S. Z.: Solving nonlinear complementarity problems by isotonicity of the metric projection. Journal of Mathematical Analysis and Applications, 386(2): 882-893, (2012). https://doi.org/10.1016/j.jmaa.2011.08.048
  36. NÉMETH, S. Z. - NÉMETH, A. B.: About the existence of an isotone retraction onto a convex cone. Journal of Convex Analysis, 18(3): 707-720 (2011)
  37. NÉMETH, S. Z.: Exceptional family of elements for general order complementarity problems. Applied Mathematics and Computation, 217(5): 2184-2190, (2010). https://doi.org/10.1016/j.amc.2010.07.018
  38. NÉMETH, S. Z.: Characterisation of subdual latticial cones in Hilbert spaces by the isotonicity of the metric projection. Optimization, 59(8): 1117-1121, (2010). https://doi.org/10.1080/02331930902968365
  39. NÉMETH, S. Z.: Isotone retraction cones in Hilbert spaces. Nonlinear Analysis: Theory, Methods and Applications, 73(2): 495-499, (2010). https://doi.org/10.1016/j.na.2010.03.044
  40. NÉMETH, A. B. - NÉMETH, S. Z.: How to project onto an isotone projection cone. Linear Algebra and its Applications, 433(1): 41-51, (2010). https://doi.org/10.1016/j.laa.2010.02.008
  41. NÉMETH, S. Z.: Characterization of latticial cones in Hilbert spaces by isotonicity and generalized infimum. Acta Mathematica Hungarica, 127(4): 376-390, (2010). https://doi.org/10.1007/s10474-009-9145-3
  42. NÉMETH, S. Z.: Iterative methods for nonlinear complementarity problems on isotone projection cones. Journal of Mathematical Analysis and Applications, 350(1): 340-347, (2009). https://doi.org/10.1016/j.jmaa.2008.09.066
  43. ISAC, G. - NÉMETH, S. Z.: The nonexistence of a regular exceptional family of elements. A necessary and sufficient condition. Applications to complementarity theory. Journal of Global Optimization, 42(3): 359-368, (2008). https://doi.org/10.1007/s10898-008-9296-8
  44. ISAC, G. - NÉMETH, S. Z.: REFE-acceptable Mappings: A necessary and sufficient condition for the nonexistence of a regular exceptional family of elements. Journal of Optimization Theory and Applications, 137(3): 507-520, (2008). https://doi.org/10.1007/s10957-007-9344-4
  45. ISAC, G. - NÉMETH, S. Z.: Regular exceptional family of elements with respect to isotone projection cones in Hilbert spaces and complementarity problems. Optimization Letters, 2(4): 567-576, (2008). https://doi.org/10.1007/s11590-008-0083-8
  46. NÉMETH, S. Z.: Inequalities characterizing coisotone cones in Euclidean spaces. Positivity, 11(3): 469-475, (2007). https://doi.org/10.1007/s11117-007-2109-3
  47. ISAC, G. - NÉMETH, S. Z.: The asymptotic Browder-Hartman-Stampacchia condition and interior bands of ε-solutions for nonlinear complementarity problems. Rocky Mountain Journal of Mathematics, 6(37): 1917-1940, (2007). https://projecteuclid.org/euclid.rmjm/1199649830
  48. NÉMETH, S. Z.: Scalar derivatives in Hilbert spaces. Positivity, 10(2): 299-314, (2006) https://doi.org/10.1007/s11117-005-0029-7
  49. ISAC, G. - NÉMETH, S. Z.: Duality of implicit complementarity problems by using inversions and scalar derivatives. Journal of Optimization Theory and Applications, (2006). 128(3): 621-633, https://doi.org/10.1007/s10957-006-9035-6
  50. ISAC, G. - NÉMETH, S. Z.: Duality in nonlinear complementarity theory by using inversions and scalar derivatives. Mathematical Inequalities & Applications, 9(4): 781-795, (2006) https://dx.doi.org/10.7153/mia-09-69
  51. ISAC, G. - NÉMETH, S. Z.: Fixed points and positive eigenvalues for nonlinear operators. Journal of Mathematical Analysis and Applications, 314(2): 500-512, (2006). https://doi.org/10.1016/j.jmaa.2005.04.006
  52. da CRUZ NETO, J. X. - FERREIRA, O. P. - LUCAMBIO PÉREZ, L. R. - NÉMETH, S. Z.: Convex- and monotone-transformable mathematical programming problems and a proximal-like point method. Journal of Global Optimization, 35(1): 53-69, (2006). https://doi.org/10.1007/s10898-005-6741-9
  53. ISAC, G. - NÉMETH, S. Z.: Duality in multivalued complementarity theory by using inversions and scalar derivatives. Journal of Global Optimization, 33(2): 197-213, (2005). https://doi.org/10.1007/s10898-004-0867-z
  54. EKÁRT, ANIKÓ - NÉMETH, S. Z.: Stability of tree structured decision functions. European Journal of Operational Research, 160(3): 676-695, (2005). https://doi.org/10.1016/j.ejor.2003.10.007
  55. FERREIRA, O. P. - LUCAMBIO PÉREZ, L. R. - NÉMETH, S. Z.: Singularities of monotone vector fields and an extragradient-type algorithm. Journal of Global Optimization, 31(1): 133-151, (2005). https://doi.org/10.1007/s10898-003-3780-y
  56. NÉMETH, S. Z. - RAPCSÁK, T. - TEMESI, J.: Evaluation of tenders for developing the economy. Central European Journal of Operations Research, 13: 299-317 (2005)
  57. ISAC, G. - NÉMETH, S. Z.: Scalar derivatives and scalar asymptotic derivatives. An Altman type fixed point theorem on convex cones and some applications. Journal of Mathematical Analysis and Applications, 290(2): 452-468, (2004). https://doi.org/10.1016/j.jmaa.2003.10.030
  58. KEADY, G. - SCALES, P. - NÉMETH, S. Z.: Watt linkages and quadrilaterals. Mathematical Gazette, 88(513): 475-492, (2004). https://www.jstor.org/stable/3620723
  59. ISAC, G. - NÉMETH, S. Z.: Scalar derivatives and scalar asymptotic derivatives. Properties and some applications. Journal of Mathematical Analysis and Applications, 278(1): 149-170, (2003). https://doi.org/10.1016/S0022-247X(02)00631-5
  60. NÉMETH, S. Z.: Variational inequalities on Hadamard manifolds. Nonlinear Analysis: Theory, Methods and Applications, 52(5): 1491-1498, (2003). https://doi.org/10.1016/S0362-546X(02)00266-3
  61. EKÁRT, ANIKÓ - NÉMETH, S. Z.: A noncontinuous generalization of the arithmetic-geometric mean. Applied Mathematics and Computation, 124(2): 261-279, (2001) https://doi.org/10.1016/S0096-3003(00)00098-9
  62. NÉMETH, S. Z.: Homeomorphisms and monotone vector fields. Publicationes Mathematicae Debrecen, 58(4): 707-716, (2001). https://publi.math.unideb.hu/load_pdf.php?p=710, in http://publi.math.unideb.hu/contents.php?szam=58
  63. NÉMETH, S. Z. - RAPCSÁK, T. - TEMESI, J.: Modelling efficiency of economic development tenders (in Hungarian). Szigma, Budapest University of Economics, XXXII(1-2): 13-28, (2001). https://journals.lib.pte.hu/index.php/szigma/article/view/1990
  64. EKÁRT, ANIKÓ - NÉMETH, S. Z.: Selection based on the Pareto nondomination criterion for controlling code growth in genetic programming. Journal of Genetic Programming and Evolvable Machines, 2(1): 61-73, (2001). https://doi.org/10.1023/A:1010070616149
  65. NÉMETH, S. Z.: Bäcklund transformations of constant torsion curves in 3-dimensional constant curvature spaces. Italian Journal of Pure and Applied Mathematics, N.7: 125-138, January 2000
  66. NÉMETH, S. Z.: Monotone vector fields. Publicationes Mathematicae Debrecen, 54(3-4): 437-449, (1999). https://publi.math.unideb.hu/load_pdf.php?p=519, in http://publi.math.unideb.hu/contents.php?szam=54
  67. NÉMETH, S. Z.: Monotonicity of the complementarity vector field of a nonexpansive map. Acta Mathematica Hungarica, 84(3): 189-197, (1999). https://doi.org/10.1023/A:1006624901670
  68. NÉMETH, S. Z.: Geodesic monotone vector fields. Lobachevskii Journal of Mathematics, 5: 13-28, (1999). http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=ljm&paperid=145&option_lang=eng
  69. NÉMETH, S. Z.: Five kinds of monotone vector fields. P.U.M.A., 9(3-4): 417-428, (1998). https://EconPapers.repec.org/RePEc:cmt:pumath:puma1998v009pp0417-0428
  70. NÉMETH, S. Z.: Bäcklund transformations of n-dimensional constant torsion curves. Publicationes Mathematicae Debrecen, 53(3-4): 271-279, (1998). http://publi.math.unideb.hu/contents.php?szam=53
  71. NÉMETH, S. Z. - PARKER, D.F.: Some unsteady pseudo-plane motions for the Navier-Stokes equations. ARI (The Bulletin of the Technical University of Istanbul), 50(3):161-168, (1998) https://doi.org/10.1007/s007770050010
  72. NÉMETH, S. Z.: Scalar derivatives and conformity. Annales Univ. Sci. Budapest, 40: 99-105, (1997). http://annalesm.elte.hu/annales40-1997/Annales_1997_T-XL.pdf
  73. NÉMETH, S. Z.: Scalar derivatives and spectral theory. Mathematica (Cluj), Tome 35(58), N. 1: 49-58 (1993)
  74. NÉMETH, S. Z.: A scalar derivative for vector functions. Rivista di Matematica Pura ed Applicata, N. 10: 7-24 (1992)

Periodicals

  1. EKÁRT, A. - NÉMETH, S. Z.: Maintaining the Diversity of Genetic Programs. E. Lutton, J. A. Foster, J. Miller, C. Ryan, A. G. B. Tettamanzi (Eds.). Proceedings of the 4th European Conference on Genetic Programming, EUROGP'2002, Kinsale, 3-5 April 2002, Lecture Notes in Computer Science, 2278: 163-172, https://doi.org/10.1007/3-540-45984-7_16
  2. EKÁRT, A. - NÉMETH, S. Z.: A metric for genetic programs and fitness sharing. R. Poli, W. Banzhaf, W. B. Langdon, J. Miller, P. Nordin, T. Fogarty (Eds.). Genetic Programming, Proceedings of EUROGP'2000, Edinburgh, 15-16 April 2000, Lecture Notes in Computer Science, 1802: 259-270, https://doi.org/10.1007/978-3-540-46239-2_19

Conference Proceedings

  1. NÉMETH, S. Z.: Characterization of monotone operators using a special class of preinvex functions. Optimization Theory: Recent Developments from Mátraháza, Editors: F. Giannessi, P. Pardalos, T. Rapcsák, Kluwer Academic Publishers, (2001). https://doi.org/10.1007/978-1-4613-0295-7_11
  2. EKÁRT, A. - NÉMETH, S. Z.: Stability of distributive and ideal AHP models with respect to the addition of a new alternative, Proceedings of ISAHP2001, Switzerland, Inst. Accounting and Controlling, University of Berne, 87-92, (2001). http://www.isahp.org/2001Proceedings/Papers/069-P.pdf (2001)
  3. EKÁRT, A. - NÉMETH, S. Z.: Stability of tree based decision principles, Proceedings of ESI 2001, Toulouse

 

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