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SOME FIXED POINT RESULTS FOR ADMISSIBLE GERAGHTY CONTRACTION TYPE MAPPINGS IN FUZZY METRIC SPACES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 12، دوره 14، شماره 3، شهریور 2017، صفحه 161-177 اصل مقاله (372.41 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3262 | ||
| نویسنده | ||
| Mina Dinarvand* | ||
| Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran | ||
| چکیده | ||
| In this paper, we introduce the notions of fuzzy $\alpha$-Geraghty contraction type mapping and fuzzy $\beta$-$\varphi$-contractive mapping and establish some interesting results on the existence and uniqueness of fixed points for these two types of mappings in the setting of fuzzy metric spaces and non-Archimedean fuzzy metric spaces. The main results of our work generalize and extend some known comparable results in the literature. Furthermore, several illustrative examples are given to support the usability of our obtained results. | ||
| کلیدواژهها | ||
| Fixed point؛ Fuzzy $alpha$-Geraghty contraction type mapping؛ Fuzzy $beta$-$varphi$-contractive mapping؛ Fuzzy metric space؛ Non-Archimedean fuzzy metric space | ||
| مراجع | ||
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