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A New Approach to Caristi's Fixed Point Theorem on Non-Archimedean Fuzzy Metric Spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 12، دوره 12، شماره 2، تیر 2015، صفحه 137-143 اصل مقاله (286.06 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2015.1989 | ||
| نویسندگان | ||
| S. Sedghi1؛ N. Shobkolaei2؛ I. Altun* 3 | ||
| 1Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran | ||
| 2Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran | ||
| 3Department of Mathematics, Faculty of Science and Arts, Kirikkale Uni- versity, 71450 Yahsihan, Kirikkale, Turkey | ||
| چکیده | ||
| In the present paper, we give a new approach to Caristi's fixed point theorem on non-Archimedean fuzzy metric spaces. For this we define an ordinary metric $d$ using the non-Archimedean fuzzy metric $M$ on a nonempty set $X$ and we establish some relationship between $(X,d)$ and $(X,M,ast )$% . Hence, we prove our result by considering the original Caristi's fixed point theorem. | ||
| کلیدواژهها | ||
| Fixed point؛ Caristi map؛ Fuzzy metric space | ||
| مراجع | ||
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