ME048 | Fixed Point Theory and Applications |
Teaching Staff in Charge |
Prof. PETRUSEL Adrian Olimpiu, Ph.D., petruselmath.ubbcluj.ro |
Aims |
To asimilate the basic fixed point principles. |
Content |
1. Set-theoretical aspects of fixed point theory.
2. Ordered set aspects of fixed point theory. 3. Fioxed point theory in metric spaces. 4. Fixed point theory in banach spaces. 5. Common fixed point therems. 6. Coincidence point theory. |
References |
1. RUS I.A.: Principii si aplicatii al teoriei punctului fix. Cluj: Ed. Dacia, 1979.
2. SMART D. R.: Fixed point theorems. Cambridge, 1974. 3. DUGUNDIJI J., GRAMAS A.: Fixed point theory. PWN, 1982. 4. RUS I.A.: Teoria punctului fix in structuri algebrice. Cluj, 1971. 5. RUS I.A.: Teoria punctului fix in analiza functionala. Cluj, 1973. 6. AGARWAL R.P., MEEHAN M. and O'REGAN D.: Fixed point theory and applications. Cambridge: Univ. Press, 2001. 7. KIRK W.A. and SIMS B. (eds.): Handbook of metric fixed point theory. Kluwer Acad. Publ., 2001. |
Assessment |
Exam. |
Links: | Syllabus for all subjects Romanian version for this subject Rtf format for this subject |