ON FELBIN’S-TYPE FUZZY NORMED LINEAR SPACES AND FUZZY BOUNDED OPERATORS

Publish Year: 1390
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJFS-8-5_009

تاریخ نمایه سازی: 7 تیر 1401

Abstract:

In this note, we aim to present some properties of the space of all weakly fuzzy bounded linear operators, with the Bag and Samanta’s operator norm on Felbin’s-type fuzzy normed spaces. In particular, the completeness of this space is studied. By some counterexamples, it is shown that the inverse mapping theorem and the Banach-Steinhaus’s theorem, are not valid for this fuzzy setting. Also finite dimensional normed fuzzy spaces are considered briefly. Next, a Hahn-Banach theorem for weakly fuzzy bounded linear functional with some of its applications are established.

Authors

Mohammad Janfada

Department of Mathematics, Sabzevar Tarbiat Moallem University, Sabzevar, Iran

Hamid Baghani

Department of Mathematics, Semnan University, Semnan, Iran

Omid Baghani

Department of Mathematics, Ferdowsi University of Mashhad, Mashhad, Iran

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