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Some New Fixed Point Theorems in Fuzzy Metric Spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 11، شماره 3، شهریور 2014، صفحه 95-107 اصل مقاله (359.74 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2014.1572 | ||
| نویسندگان | ||
| Dhananjay Gopal* 1؛ Calogero Vetro2 | ||
| 1Department of Applied Mathematics and Humanities, S. V. Na- tional Institute of Technology, Surat, Gujarat, India | ||
| 2Universita degli Studi di Palermo, Dipartimento di Matematica e Informatica, Via Archirafi 34, 90123 Palermo, Italy | ||
| چکیده | ||
| Motivated by Samet et al. [Nonlinear Anal., 75(4) (2012), 2154-2165], we introduce the notions of $alpha$-$phi$-fuzzy contractive mapping and $beta$-$psi$-fuzzy contractive mapping and prove two theorems which ensure the existence and uniqueness of a fixed point for these two types of mappings. The presented theorems extend, generalize and improve the corresponding results given in the literature. | ||
| کلیدواژهها | ||
| Fixed point؛ Fuzzy contractive mapping؛ Fuzzy metric space | ||
| مراجع | ||
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