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$\psi -$weak Contractions in Fuzzy Metric Spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 11، دوره 8، شماره 5، دی 2011، صفحه 141-148 اصل مقاله (335.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2011.303 | ||
| نویسندگان | ||
| Mujahid Abbas1؛ M. Imdad2؛ D. Gopal* 3 | ||
| 1Department of Mathematics, Lahore University of Management Sci- ences, 54792- Lahore, Pakistan | ||
| 2Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India | ||
| 3Department of Mathematics and Humanities, S. V. National Institute of Technology, Surat, 395007, Gujarat, India | ||
| چکیده | ||
| In this paper, the notion of $\psi -$weak contraction \cite{Rhoades} is extended to fuzzy metric spaces. The existence of common fixed points for two mappings is established where one mapping is $\psi -$weak contraction with respect to another mapping on a fuzzy metric space. Our result generalizes a result of Gregori and Sapena \cite{Gregori}. | ||
| کلیدواژهها | ||
| Weekly compatible mappings؛ Fuzzy metric spaces؛ Common fixed point؛ $\psi-$weak contractions | ||
| مراجع | ||
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