ON SOME TRIANGULAR INEQUALITIES AND APPLICATIONS IN 2-FUZZY METRIC SPACES

The aim of this paper is to study some level forms of triangular inequality of 2-fuzzy metric spaces which will be useful for application to fixed point problems. For this aim, we first define the concept of 2-fuzzy pre-metric spaces that have weaker axioms than 2-fuzzy metric spaces with the fundam...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 13; no. 2; p. 480
Main Authors Guner, Elif, Aygun, Halis
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.04.2023
Elman Hasanoglu
Subjects
Axioms
Fixed points (mathematics)
Fuzzy algorithms
Fuzzy logic
Fuzzy systems
Inequalities
Inequalities (Mathematics)
Mathematics
Metric space
Metric spaces
Turkey
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ISSN2146-1147
2146-1147

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Summary:The aim of this paper is to study some level forms of triangular inequality of 2-fuzzy metric spaces which will be useful for application to fixed point problems. For this aim, we first define the concept of 2-fuzzy pre-metric spaces that have weaker axioms than 2-fuzzy metric spaces with the fundamental properties. Then, we investigate the level form inequalities in 2-fuzzy metric spaces equvalent to the triangular inequalities of 2-fuzzy metric spaces by also analyzing the conditions under in which these are provided. Finally, we prove a fixed point theorem for 2-fuzzy metric spaces by considering the obtained level forms of triangular inequalities. Keywords: Fuzzy number, 2-fuzzy metric space, triangular inequality, fixed point theorem. AMS Subject Classification: 03E72, 47H10, 54E35.
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ISSN:2146-1147
2146-1147