| Title:
|
A fixed point theorem for non-self multi-maps in metric spaces (English) |
| Author:
|
Dhage, B. C. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
251-258 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A fixed point theorem is proved for non-self multi-valued mappings in a metrically convex complete metric space satisfying a slightly stronger contraction condition than in Rhoades [3] and under a weaker boundary condition than in Itoh [2] and Rhoades [3]. (English) |
| Keyword:
|
metrically convex metric space |
| Keyword:
|
multi-valued non-self map |
| Keyword:
|
fixed point |
| MSC:
|
47H04 |
| MSC:
|
47H10 |
| MSC:
|
54C60 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 0983.47034 |
| idMR:
|
MR1732645 |
| . |
| Date available:
|
2009-01-08T18:51:40Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119080 |
| . |
| Reference:
|
[1] Blumenthal L.M.: Theory and Applications of Distance Geometry.Clarendon Press, Oxford, 1943. Zbl 0208.24801, MR 0054981 |
| Reference:
|
[2] Itoh S.: Multi-valued generalized contraction and fixed point theorems.Comment. Math. Univ. Carolinae 18 (1977), 247-248. MR 0451227 |
| Reference:
|
[3] Rhoades B.E.: A fixed point theorem for a multi-valued non-self mappings.Comment. Math. Univ. Carolinae 37 (1996), 401-404. MR 1399013 |
| . |
