GÁBOR KASSAY - IN MEMORIAM

Authors

  • Petra Renáta RIGÓ Corvinus Centre for Operations Research at Corvinus Institute for Advanced Studies, Corvinus University of Budapest, 1093 Budapest, F˝ova´m t´er 8, Hungary, e-mail: petra.rigo@uni-corvinus.hu https://orcid.org/0000-0002-3867-0304
  • Ferenc SZENKOVITS “Babe¸s-Bolyai” University, Faculty of Mathematics and Computer Sciences, 1, Kog˘alniceanu Street, 400084 Cluj-Napoca, Romania, e-mail: ferenc.szenkovits@ubbcluj.ro https://orcid.org/0000-0002-6927-8874

Abstract

The scientific activity of Professor Gábor Kassay (1956-2021), one of the most prolific mathematician in Cluj-Napoca (Romania) is presented, through the memories of some co-authors, with whom he collaborated throughout the four decades of his scientific activity.

Mathematics Subject Classification (2010): 01A85, 90C33, 90C47, 46N10.

Received 13 August 2021; Accepted 11 October 2021. Published Online: 2022-03-10

References

Kassay, G., A fixed point theorem for generalized contractive mappings, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, 7(1985), 93–100.

Kassay, G., On solvability of nonlinear Hammerstein equations, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, 7(1985), 93–100.

Kassay, G., Kolumban, I., Implicit functions and variational inequalities for monotone mappings, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, 7(1989), 79–92.

Kassay, G., On Brezis-Nirenberg-Stampacchia’s minimax principle, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, 7(1991), 101–106.

Illes, T., Kassay, G., Farkas type theorems for generalized convexities, Pure Math. Appl., 5(1994), no. 2, 225–239.

Kassay, G., A simple proof for Konig’s minimax theorem, Acta Math. Hungar., 63(1994), no. 4, 371–374.

Frenk, J.B.G., Kassay, G., On classes of generalized convex functions, Gordan-Farkas type theorems and Lagrangian duality, J. Optim. Theory Appl., 102(1999), no. 2, 315– 343.

Kassay, G., Kolumban, J., Pales, Zs., On Nash stationary points, Publ. Math. Debrecen, 54(1999), no. 3-4, 267–279.

Kassay, G., Pales, Zs., A localized version of Ky Fan’s minimax inequality, Nonlinear Anal.: Theory Methods and Appl., 35(1999), 505–515.

Kassay, G., The Equilibrium Problem and Related Topics, Risoprint, Cluj, Romania, 2000.

Kassay, G., Kolumban, J., Pales, Zs., Factorization of Minty and Stampacchia variational inequality systems, European J. Oper. Res., 143(2002), no. 2, 377–389.

Bianchi, M., Kassay, G., Pini, R., Existence of equilibria via Ekeland’s principle, J. Math. Anal. Appl., 305(2005), no. 2, 502–512.

Bot, R.I., Kassay, G., Wanka G., Strong duality for generalized convex optimization problems, J. Optim. Theory Appl., 127(2005), no. 1, 45–70.

Frenk, J.B.G., Kassay, G., Introduction to convex and quasiconvex analysis, in: Handbook of Generalized Convexity and Monotonicity, Series: Nonconvex Optim. Appl., Vol. 76, Eds. N. Hadjisavvas, S. Komlosi, S. Schaible, Springer, Berlin-Heidelberg-New York, 2005, pp. 3–87.

Bianchi, M., Kassay, G., Pini, R., Ekeland’s principle for vector equilibrium problems, Nonlinear Anal. 66(2007), 1454–1464.

Frenk, J.B.G., Kassay, G., Lagrangian duality and cone convexlike functions, J. Optim. Theory Appl., 134(2007), no. 2, 207–222.

Frenk, J.B.G., Kassay, G., On noncooperative games, minimax theorems and equilibrium problems, in: Pareto Optimality, Game Theory and Equilibria, Series: Springer Optim. Appl., Athanasios Migdalas (Crete), Panos Pardalos (Florida), Leonidas Pitsoulis (London) and Altannar Chinchuluun (Florida) (Eds.), Vol. 17, 2008. XXII, pp. 53–94.

Bianchi, M., Kassay, G., Pini, R., Well-posedness for vector equilibrium problems, Math. Methods Oper. Res. 70(2009), 171–182.

Kassay, G., Pintea, C., Szenkovits, F., On convexity of preimages of monotone operators, Taiwanese J. Math., 13(2009), 675–686.

Bianchi, M., Kassay, G., Pini, R., Well-posed equilibrium problems, Nonlinear Anal. 72(2010), 460–468.

Kassay, G., Pintea, C., On preimages of a class of generalized monotone operators, Nonlinear Anal., 73(2010), 3537–3545.

Kassay, G., Pintea, C., Laszlo, Sz., Monotone operators and closed countable sets, Optimization, 60(2011), 1059–1069.

Bianchi, M., Kassay, G., Pini, R., Conditioning for optimization problems under general perturbations, Nonlinear Anal. 75(2012), 37–45.

Bianchi, M., Kassay, G., Pini, R., An inverse map result and some applications to sensitivity of generalized equations, J. Math. Anal. Appl. 399(2013), 279–290.

Bianchi, M., Kassay, G., Pini, R., Stability results of variational systems under openness with respect to fixed sets, J. Optim. Theory Appl. 164(2015), 92–108.

Bianchi, M., Kassay, G., Pini, R., Linear openness of the composition of set-valued maps and applications to variational systems, Set-Valued Var. Anal. 24(2016), 581–595.

Bianchi, M., Kassay, G., Pini, R., Stability of equilibria via regularity of the diagonal subdifferential operator, Set-Valued Var. Anal. 25(2017), 789–805.

Bianchi, M., Kassay, G., Pini, R., On a sufficient condition for weak sharp efficiency in multiobjective optimization, J. Optim. Theory Appl. 178(2018), 78–93.

Al-Homidan, S., Ansari, Q. H., Kassay, G., Takahashi’s Minimization Theorem and Some Related Results in Quasi-metric Spaces, J. Fixed Point Theory Appl., 21(2019), Article ID 38, 20 pp.

Al-Homidan, S., Ansari, Q. H., Kassay, G., On Sensitivity of Vector Equilibria by Means of the Diagonal Subdifferential Operator, J. Nonlinear Convex Anal. 20(2019), 527–537. [31] Kassay, G., R˘adulescu, V.D., Equilibrium Problems and Applications, Series: Mathematics in Science and Engineering, Elsevier/Academic Press, London, 2019.

Al-Homidan, S., Ansari, Q.H., Kassay, G., Vectorial form of Ekeland variational principle with applications to vector equilibrium problems, Optimization, 69(2020), no. 3, 415–436.

Bianchi, M., Kassay, G., Pini, R., Regularization of Brezis pseudomonotone variational inequalities, Set-Valued Var. Anal., 29(2021), 175–190.

Al-Homidan, S., Ansari, Q.H., Kassay, G., Bregman type regularization of variational inequalities with Mosco approximation of the constraint set, Positivity, 26(2022), no. 3.

Bianchi, M., Kassay, G., Pini, R., Brezis pseudomonotone bifunctions and quasi equilibrium problems via penalization, to appear in J. of Global Optim.

Kasa, Z., Kolumban, J., Rigo, R. P., Szenkovits, F., Gabor Kassay (1956–2021) – In Memoriam and List of Publication, Preprint, 2022.[https://www.cs.ubbcluj.ro/wp-content/uploads/Kassay-Gabor1956-2021.pdf]

STUDIA UBB MATHEMATICA, Volume 67 (LXVII), No. 1, March 2022

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2022-03-10

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RIGÓ, P. R., & SZENKOVITS, F. (2022). GÁBOR KASSAY - IN MEMORIAM. Studia Universitatis Babeș-Bolyai Mathematica, 67(1), 3–10. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/1427

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Volume 67, No. 1, March 2022

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