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Research Article | Open Access

Ekeland's variational principle in fuzzy quasi-normed spaces

Wei Zhou, Jianrong Wu( )
College of Mathematics Science, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China
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Abstract

Fuzzy quasi-normed space provides an ideal mathematical framework for studying asymmetric phenomena. In this paper, we prove a version of the Ekeland variational principle in fuzzy quasi-normed spaces and apply it to Caristi's fixed point theorem and Takahashi minimization theorem. Moreover, we prove the equivalence relations among these theorems.

Keywords

fuzzy quasi-normvariational principlefixed point theoremminimization theorem
CLC number: 46S40, 58E30

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AIMS Mathematics
Volume 7 Issue 9,
September 2022
Pages 15982-15991
DOI: 10.3934/math.2022874

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Cite this article:
Zhou W, Wu J. Ekeland's variational principle in fuzzy quasi-normed spaces. AIMS Mathematics, 2022, 7(9): 15982-15991. https://doi.org/10.3934/math.2022874

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Received: 18 April 2022
Revised: 19 June 2022
Accepted: 23 June 2022
Published: 15 September 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)