| Title:
|
A fixed point theorem for a multivalued non-self mapping (English) |
| Author:
|
Rhoades, B. E. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
2 |
| Year:
|
1996 |
| Pages:
|
401-404 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove a fixed point theorem for a multivalued non-self mapping in a metrically convex complete metric space. This result generalizes Theorem 1 of Itoh [2]. (English) |
| Keyword:
|
multivalued non-self mapping |
| Keyword:
|
metrically convex metric space |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 0849.47032 |
| idMR:
|
MR1399013 |
| . |
| Date available:
|
2009-01-08T18:24:28Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118843 |
| . |
| Reference:
|
[1] Blumenthal L.M.: Theory and Applications of Distance Geometry.The Clarendon Press, Oxford, 1943. Zbl 0208.24801, MR 0054981 |
| Reference:
|
[2] Itoh Shigeru: Multivalued generalized contractions and fixed point theorems.Comment. Math. Univ. Carolinae 18 (1977), 247-258. Zbl 0359.54038, MR 0451227 |
| Reference:
|
[3] Nadler S.B., Jr.: Multi-valued contraction mappings.Pacific J. Math. 30 (1969), 475-488. Zbl 0187.45002, MR 0254828 |
| . |
