| Title:
|
Common fixed points of Greguš type multi-valued mappings (English) |
| Author:
|
Rashwan, R. A. |
| Author:
|
Ahmed, Magdy A. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
38 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
37-47 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This work is considered as a continuation of [19,20,24]. The concepts of $\delta $-compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a $\phi $-type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension. (English) |
| Keyword:
|
common fixed points |
| Keyword:
|
$\delta $-compatible mappings |
| Keyword:
|
sub-compatible mappings |
| Keyword:
|
complete convex metric spaces |
| MSC:
|
47H04 |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1088.54506 |
| idMR:
|
MR1899566 |
| . |
| Date available:
|
2008-06-06T22:29:44Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107817 |
| . |
| Reference:
|
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