Noncyclic contractions and relatively nonexpansive mappings in strictly convex fuzzy metric spaces-Reference-Cited by-同舟云学术

Noncyclic contractions and relatively nonexpansive mappings in strictly convex fuzzy metric spaces

Published:2022 Issue:11 Volume:7 Page:20230-20246
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Gabeleh Moosa¹,Ekici Elif Uyanık²,Sen Manuel De La³

Affiliation:

1. Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran

2. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey

3. Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa, Bizkaia, Spain

Abstract

<abstract><p>A concept of fuzzy projection operator is introduced and use to investigate the non-emptiness of the fuzzy proximal pairs. We then consider the classes of noncyclic contractions and noncyclic relatively nonexpansive mappings and survey the existence of best proximity pairs for such mappings. In the case that the considered mapping is noncyclic relatively nonexpansive, we need a geometric notion of fuzzy proximal normal structure defined on a nonempty and convex pair in a convex fuzzy metric space. We also prove that every nonempty, compact and convex pair of subsets of a strictly convex fuzzy metric space has the fuzzy proximal normal structure.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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