| Title:
|
Coincidence points and $R$-weakly commuting maps (English) |
| Author:
|
Shahzad, Naseer |
| Author:
|
Kamran, Tayyab |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
179-183 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we extend the concept of $R$-weak commutativity to the setting of single-valued and multivalued mappings. We also establish a coincidence theorem for pairs of $R$-weakly commuting single-valued and multivalued mappings satisfying a contractive type condition. (English) |
| Keyword:
|
metric space |
| Keyword:
|
multivalued mapping |
| Keyword:
|
coincidence point |
| Keyword:
|
$R$-weakly commuting map |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1090.54040 |
| idMR:
|
MR1860182 |
| . |
| Date available:
|
2008-06-06T22:28:48Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107797 |
| . |
| Reference:
|
[1] Beg, I. and Azam, A.: Fixed points of asymptotically regular multivalued mappings.J. Austral. Math. Soc. Ser. A 53 (1992), 313–326. MR 1187851 |
| Reference:
|
[2] Cho, Y. J., Fisher, B. and Jeong, G. S.: Coincidence theorems for nonlinear hybrid contractions.Internat. J. Math. Math. Sci. 20(2) (1997), 249–256. MR 1444724 |
| Reference:
|
[3] Hadzic, O.: A coincidence theorem for multivalued mappings in metric spaces.Studia Univ. Babeş-Bolyai Math. XXVI(3) (1981), 65–67. Zbl 0506.54041, MR 0681096 |
| Reference:
|
[4] Jungck, G.: Compatible mappings and common fixed points.Internat. J. Math. Math. Sci. 9 (4) (1986), 771–779. Zbl 0802.47053, MR 0870534 |
| Reference:
|
[5] Kaneko, H.: Single-valued and multi-valued $f$-contractions.Boll. Un. Mat. Ital. Ser. A 4 (1985), 29–33. Zbl 0568.54031, MR 0781791 |
| Reference:
|
[6] Kaneko, H. and Sessa, S.: Fixed point theorems for compatible multivalued and single valued mappings.Internat. J. Math. Math. Sci. 12(2) (1989), 257–262. MR 0994907 |
| Reference:
|
[7] Nadler, S.: Multivalued contraction mappings.Pacific J. Math. 20 (1969), 475–488. MR 0254828 |
| Reference:
|
[8] Pant, R. P.: Common fixed points of noncommuting mapping.J. Math. Anal. Appl. 188 (1994), 436–440. MR 1305460 |
| Reference:
|
[9] Rashwan, R. A.: A coincidence theorem for contactive type multivalued mappings.J. Egyptian Math. Soc. 5 (1) (1997), 47–55. MR 1488206 |
| . |
