Teoria punctului fix cu aplicaţii în economie | Fixed point theory with applications to ecomomics |
trul |
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(Applied Mathematics) |
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(Mathematics Economics) |
Cadre didactice indrumatoare | Teaching Staff in Charge |
Prof. Dr. RUS Ioan, iarus@math.ubbcluj.ro |
Obiective | Aims |
-studentii sa se familiarizeze cu tehnici de baza din analiza neliniara si relevanta lor din perspectiva economica. |
-to present the main techniques and tools from nonlinear analysis,that have important economical significances. |
1. Teoreme de punct fix in multimi ordonate. Elemente extremale. Semnificatii economice.
2. Teoreme metrice de punct fix. 3. Principii topologice de punct fix. 4. Tehnica punctului fix in economiile matematice. |
1. K.C.Border, Fixed point theorems with applications to economics and game
theory, Cambridge Univ.Press, 1985. 2. I.A.Rus, Principii si aplicatii ale teoriei punctului fix, Editura Dacia, Cluj-Napoca, 1979. 3. J.W.S.Cassels, Economics for mathematicians, Cambridge Univ.Press, 1989. 4. J.P.Aubin, Optima and Equilibra, Springer, Berlin, 1994. 5. D. R. Smart, Fixed point theorems, Cambridge, 1974. 6. J. Dugundiji, A. Granas, Fixed point theory, PWN, 1982. 7. R.P. Agarwal, M. Meehan and D. O'Regan, Fixed point theory and applications, Cambridge Univ. Press, 2001. 8. W.A. Kirk and B. Sims (eds.), Handbook of metric fixed point theory, Kluwer Acad. Publ., 2001. |
Evaluare | Assessment |
Examen. |
Exam. |