East Asian mathematical journal
- Volume 24 Issue 1
- /
- Pages.11-20
- /
- 2008
- /
- 1226-6973(pISSN)
- /
- 2287-2833(eISSN)
RECENT RESULTS AND CONJECTURES IN ANALYTICAL FIXED POINT THEORY
- Park, Se-Hie (THE NATIONAL ACADEMY OF SCIENCES, REPUBLIC OF KOREA, AND DEPARTMENT OF MATHEMATICAL SCIENCES, SEOUL NATIONAL UNIVERSITY)
- Published : 2008.01.31
Abstract
We survey recent results and some conjectures in analytical fixed point theory. We list the known fixed point theorems for Kakutani maps, Fan-Browder maps, locally selectionable maps, approximable maps, admissible maps, and the better admissible class
Keywords
- The Schauder conjecture;
- weakly admissible set;
- Klee approximable;
- Kakutani map;
- Fan-Browder map;
- approximable map;
- better admissible class of multimaps