| Title:
|
Common Fixed Point Theorems in a Complete 2-metric Space (English) |
| Author:
|
Dey, Debashis |
| Author:
|
Saha, Mantu |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
79-87 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper, we establish a common fixed point theorem for four self-mappings of a complete 2-metric space using the weak commutativity condition and $A$-contraction type condition and then extend the theorem for a class of mappings. (English) |
| Keyword:
|
fixed point |
| Keyword:
|
common fixed point |
| Keyword:
|
2-metric space |
| Keyword:
|
completeness |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| idZBL:
|
Zbl 1285.54034 |
| idMR:
|
MR3202751 |
| . |
| Date available:
|
2013-08-02T07:59:41Z |
| Last updated:
|
2014-07-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143393 |
| . |
| Reference:
|
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| Reference:
|
[2] Bianchini, R.: Su un problema di S.Reich riguardante la teori dei punti fissi. Boll. Un. Math. Ital. 5 (1972), 103–108. MR 0308875 |
| Reference:
|
[3] Cho, Y. J., Khan, M. S., Singh, S. L.: Common fixed points of weakly commuting mappings. Univ. u Novom Sadu, Zb. Rad. Prirod.–Mat. Fak. Ser. Mat. 18, 1 (1988), 129–142. Zbl 0708.54037, MR 1034710 |
| Reference:
|
[4] Delbosco, D.: An unified approach for the contractive mappings. Jnanabha 16 (1986), 1–11. MR 0882131 |
| Reference:
|
[5] Fisher, B.: Common fixed points of four mappings. Bull. Inst. Math. Acad. Sinicia 11 (1983), 103–113. Zbl 0515.54029, MR 0718906 |
| Reference:
|
[6] Gähler, S.: 2-metric Raume and ihre topologische strucktur. Math.Nachr. 26 (1963), 115–148. MR 0162224, 10.1002/mana.19630260109 |
| Reference:
|
[7] Gähler, S: Uber die unifromisieberkeit 2-metrischer Raume. Math. Nachr. 28 (1965), 235–244. 10.1002/mana.19640280309 |
| Reference:
|
[8] Kannan, R.: Some results on fixed points–II. Amer. Math. Monthly 76, 4 (1969), 405–408. Zbl 0179.28203, MR 0257838, 10.2307/2316437 |
| Reference:
|
[9] Khan, M. D.: A Study of Fixed Point Theorems. Doctoral Thesis, Aligarh Muslim University, Aligarh, Uttar Pradesh, India, 1984. |
| Reference:
|
[10] Naidu, S. V. R., Prasad, J. R.: Fixed points in 2- metric spaces. Indian J. Pure AppL. Math. 1, 8 (1986), 974–993. |
| Reference:
|
[11] Reich, S.: Kannan s fixed point theorem. Boll. Un. Math. Ital. 4 (1971), 1–11. Zbl 0219.54042, MR 0305163 |
| . |
