|
|||||
|
|
Applications of Michael's selection theorems to fixed point theory |
|
| Authors: | Sehie Park |
| Institution: | The National Academy of Sciences and Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Republic of Korea |
| Abstract: | Applying some of Ernest Michael's selection theorems, from recent fixed point theorems on u.s.c. multimaps, we deduce generalizations of the classical Bolzano theorem, several fixed point theorems on multimaps defined on almost convex sets, almost fixed point theorems, coincidence theorems, and collectively fixed point theorems. These results are related mainly to Michael maps, that is, l.s.c. multimaps having nonempty closed convex values. |
| Keywords: | t v s Multimap (map) Selection Almost convex set Almost fixed point property Multimap class _method=retrieve& _eid=1-s2 0-S0166864107003793& _mathId=si1 gif& _pii=S0166864107003793& _issn=01668641& _acct=C000054348& _version=1& _userid=3837164& md5=b13f980b360b4ff42a109594d94de02e')" style="cursor:pointer B" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">B |
| 本文献已被 ScienceDirect 等数据库收录！ | |