Fixed Point Theorems for Two Paired Mappings In Fuzzy 2-Metric Spaces
Main Article Content
Abstract
In this paper, we prove common fixed-point theorems for two pairs of self-mappings on fuzzy 2-metric space using the property (E.A). Also, it is a generalization of a result of Sharma [10].
Mathematics Subject Classification. 47H10, 54H25.
Downloads
Metrics
Article Details
![Creative Commons License](http://i.creativecommons.org/l/by-nc-nd/4.0/88x31.png)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.
References
. Amari and Moutawakil, "Some new common Fixed Point Theorem under strict contractive conditions," J. Math.
Anal. Appl, vol. 20, pp. 181-188, 2002.
. Cho, "Fixed points in fuzzy metric space," J. Fuzzy Math., vol. 4, no. 5, pp. 949-962, 1997.
. Gahler, "2-metriche reume and ihre tapologishe structure," Math. Nauhr., vol. 26, pp. 115-148, 1963/64.
. George and Veeramani, "On some results in fuzzy metric spaces," Fuzzy sets and system, vol. 64, pp. 395-399,
. Grabiec, "Fixed points in fuzzy metric spaces," Fuzzy Sets and Systems, vol. 27, pp. 385-389, 1988.
. Iseki, Sharma and Sharma, "Contractive type mapping on 2-metric space," Math Japonica, vol. 21, pp. 67-70,
. Kramosil and Michalek, "Fuzzy metric and statistical metric spaces," Kybernatica, vol. 11, pp. 326- 334, 1975.
. Kutukcu, Sharma and Tokgoz, "A fixed point theorem in fuzzy metric spaces," Int. J. Math. Anal., vol. 1, no. 18,
p. 861, 2007.
. Schweizer and Sklar, "Statistical metric spaces," Pacific J. Math. , vol. 10, pp. 313-334, 1960.
. Sharma, "On fuzzy metric spaces,," Southeast Asian Bull. of Math., vol. 26, no. 1, pp. 133-145, 2002.
. S. H. Cho, "On common fixed points in fuzzy metric spaces," International mathematical forum, vol.
, pp. 471-479, 2006.
. Zadeh, "Fuzzy sets," Inform and Control, vol. 89, pp. 338-353, 1965.