A contractive mappings on fuzzy normed linear spaces

Iranian Journal of Numerical Analysis and Optimization

مقاله 7، دوره 6، شماره 1 - شماره پیاپی 9، اردیبهشت 2016، صفحه 121-136   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v6i1.41683

نویسنده

M. Saheli^*

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

چکیده

‎In this paper‎, ‎we use the definition of fuzzy normed spaces given by Bag and Samanta and provide four types of fuzzy versions of contraction‎. ‎We show that these mappings necessarily have unique fixed points in fuzzy normed linear spaces‎. ‎We will show that the presented theorems are indeed fuzzy extensions of their classical counterparts‎.

کلیدواژه‌ها

Fuzzy norm؛ Fuzzy normed linear space؛ Fixed point؛ α- seminorm؛ Contractive conditions

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