 |
|
|
|
|
|
| BBTE |
|
| Analízis és Optimizálás Tanszék |
|
Cím:
Kogalniceanu utca, 1 szám,
Kolozsvár 3400,
Románia |
|
|
|
|
|
| Születési hely: |
Székelyudvarhely |
|
|
| Születési idő: |
1956. december 24. |
|
|
| Foglalkozás: |
egytemi oktató |
|
|
| Beosztás: |
Egyetemi tanár (professzor) |
|
|
| Otthoni cím: |
Kolozsvár |
|
|
| Kutatási téma: |
matematikai analízis |
|
|
| Tudományterület: |
Matematika |
|
|
| Tudományág: |
- |
|
|
| Tudományos cím: |
A matematikai tudományok doktora |
|
|
|
|
| Publikációk: |
|
|
|
ARTICLES
Papers abroad
(a)published:
1. A characterization of reflexive Banach spaces with normal structure, Bollettino dell' Unione Matematica Italiana, 6,(1986), 273-276.
2. On nonsmooth parametric optimization, Bulletins for Applied Mathematics (Budapest) 812 (1992), 211-220.
3. The implicit function theorem and parametric optimization,Operations Research , '93 (A. Karmann, K. Mosler, M. Schader, G. Uebe -editors), GMÖOR, Physica Verlag, Springer Verlag Company (1993), 201-202.
4. A simple proof for König's minimax theorem, Acta Mathematica
Hungarica 63 (1994), 371-374.
5. Farkas type theorems for generalized convexities, PUMA (Pure Mathematics and Applications) 5 (1994), 225-239 (in collaboration with T. Illés).
6. On saddle points of set-valued mappings, Annales Univ. Sci. Budapest 37 (1994), 209-214; (in collaboration with I. Joó).
7. Convexity, minimax theorems and their applications, Annales Univ. Sci. Budapest, 38 (1995), 71-93 (in collaboration with I. Joó).
8. On a generalized sup-inf problem, Journal of Optimization Theory and Applications (JOTA), 91 (1996), 651-670 (in collaboration with J. Kolumbán).
9. A systematization of convexity concepts for sets and functions, Journal of Convex Analysis, 4 (1997), 109-127 (in collaboration with W. W. Breckner).
10. A localized version of Ky Fan's minimax inequality, Nonlinear Analysis: Theory, Methods and Applications 35 (1999), 505-515 (in collaboration with Zs. Páles).
11. Theorems of the alternative and optimality conditions for convexlike and general convexlike programming, Journal of Optimization Theory and Applications (JOTA), 101, No. 2 (1999), 243-257 (in collaboration with T. Illés).
12. On Nash stationary points, Publicationes Mathematicae Debrecen, 54 (1999), 267-279 (in collaboration with J. Kolumbán and Zs. Páles).
L3. On classes of generalized convex functions, Gordan-Farkas type theorems and Lagrangian duality, Journal of Optimization Theory and Applications (JOTA), 102, No. 2 (1999), 315-343 (in collaboration with J. B. G. Frenk).
14. Generalized Farkas Theorems and Their Consequences (in Hungarian), New Trends in Operations Research (in memoriam Gyula Farkas), edited by S. Komlósi and T. Szántai, Proceedings of the 23-rd Hungarian Operations Research Conference held in Pécs, October 1997; pp. 43-57, 1999.
15. System of multi-valued variational inequalities, Publicationes Mathematicae Debrecen, 56 (2000), 185-195 (in collaboration with J. Kolumbán).
16. Multivalued parametric variational inequalities with alpha-pseudomonotone maps, Journal of Optimization Theory and Applications, 107, No. 1, (2000), 35-50 (in collaboration with J. Kolumbán).
17. Variational inequalities given by semi-pseudomonotone maps, Nonlinear Analysis Forum, Vol. 5, (2000), 35-50 (in collaboration with J. Kolumbán).
(b) Accepted for publication:
1. Minimax results and finite dimensional separation, Technical Note, Journal of Optimization Theory and Applications (in collaboration with J.B.G. Frenk).
(c) Submitted papers:
1. Lagrangian duality and cone convexlike functions, submitted to Journal of Optimization Theory and Applications (in collaboration with J.B.G. Frenk).
2. Factorization of Minty and Stampacchia variational inequality systems, submitted to European Journal of Operations Research (EJOR) (in collaboration with J. Kolumbán and Zs. Páles).
3. Lagrangian multiplier rule for set-valued optimization, submitted to Set-Valued Analysis (in collaboration with K. Nikodem).
II. Papers published in Romania
Refereed in Mathematical Reviews
1. A fixed point theorem for generalized contractive mappings, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, Preprint Nr. 7 (1985), 89-92 (MR 87 h:47126, ref: The Editors).
2. On solvability of nonlinear Hammerstein equations, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, Preprint Nr. 7 (1985), 93-100 (MR 87 h:47139, ref: The Editors).
3. The proximal points algorithm for reflexive Banach spaces, Studia Univ. Babes-Bolyai, Mathematica, Cluj 30 (1985), 9-17 (MR. 87 h:65103, ref: B.T. Polyak).
4. Normal convexity structure and fixed points in metric spaces, Proceedings of the Conference on Differential Equations, Cluj (1985), 233-238.
5. On Takahashi's convexity and fixed points in metric spaces, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, Preprint Nr. 4 (1986), 91-98.
6. The asymptotic center and fixed points in metric spaces, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, Preprint Nr. 7 (1987), 69-74 (MR 89 d:54037, ref: M. Edelstein).
7. On a fixed point theorem of W. A. Kirk, Babes-Bolyai University Cluj, Seminar on Fixed Point Theory, Preprint Nr. 3 (1988), 23-28 (MR 90 d:54085, ref: M. Edelstein).
8. Remarks on local stability of fixed points, Itinerant Seminar on Functional Equations, Approximation and Convexity, Cluj (1988),191-196 (in collaboration with J. Kolum-bán; MR 90 c:47103, ref: J. Danes).
9. Implicit function theorems for monotone mappings, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, Preprint Nr. 7 (1988), 1-27 (in collaboration with J. Kolumbán; MR 90 c:58022, ref: M. Fabian).
10. On the constrained optimization, Itinerant Seminar on Functional Equations, Approximation and Convexity, Cluj (1989),181-190 (in collaboration with J. Kolumbán; MR 91 d:90091, ref: V. Jeyakumar).
11. Implicit functions and variational inequalities for monotone mappings, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, Preprint Nr. 7 (1989), 79-92 (in collaboration with J. Kolumbán; MR 91 c:47111, ref: D. Pascali).
12. On a theorem of Brézis-Nirenberg-Stampacchia, Babes-Bolyai University Cluj, Seminar on Optimization Theory, Preprint Nr. 8 (1989), 57-66 (in collaboration with J. Kolumbán).
13. On convexity of the implicit function, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, Preprint Nr. 7 (1990), 77-82 (in collaboration with Z. Balogh).
14. On the Knaster-Kuratowski-Mazurkiewicz and Ky Fan's theorems, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, Preprint Nr. 7 (1990), 87-100 (in collaboration with J.Kolumbán).
15. On Brézis-Nirenberg-Stampacchia's minimax principle, Babes-Bolyai University Cluj, Seminar on Mathematical Analysis, Preprint Nr. 7 (1991), 101-106.
16. On the generalized Minty's inequality, Studia Univ. Babes-Bolyai, Mathematica,39 Nr. 4, 1994, 37-45. (in collaboration with J. Kolumbán).
17. Perfect duality for K-convexlike programming problems, Studia Univ. Babes-Bolyai, Mathematica,41 Nr. 1, 1996, 69-78 (in collaboration with T. Illés).
III. Other Papers
1. The existence of implicit functions in reflexive Banach spaces Theodor Angheluta Seminar, Cluj (1983), 123-128 (in Romanian with English summary).
2. Stability of solutions for equations gouverned by monotone functions, "Didactica Matematicii" Seminars, Vol.4 (1987-1988), 115-118 (in Romanian).
3. Monotone vector functions, "Didactica Matematicii" Seminars, Vol.5 (1989), 149-151 (in Romanian).
4. On the geometrical probabilities, Matematikai Lapok Vol. 95 (1990), 11-15 (in Hungarian).
5. Minimax theorems and their applications, Eötvös Loránd University Budapest, Dept. of Operations Research, Report 2 (1992), 1-43 (in Hungarian).
6. On a nonconvex Farkas theorem and its applications to optimization theory, Eötvös Loránd University Budapest, Dept. of Operations Research, Report 3 (1992), 1-11 (in collaboration with T. Illés and I. Joó).
7. On a generalized saddle point theorem, Math. Inst. of the Hungarian Academy of Sci., Budapest, Preprint 30 (1993), 1-11 (in collaboration with J. Kolumbán).
8. Theorems of the alternative and optimality conditions for convexlike programming, Eötvös Loránd University Budapest, Dept. of Operations Research, Report 1 (1995), 1-10 (in collaboration with T. Illés).
BOOKS and COURSENOTES
1. Minimax Theorems and Duality in Mathematical Programming, Eötvös Loránd University Budapest, Hungary, 1995 (in collaboration with T. Illés, 86 pages).
2. The Equilibrium Problem and Related Topics, Risoprint, Cluj-Napoca 2000 (113 pages).
|
|
|
|
|
|
|
|
|
|
|
