Back to Search
Start Over
Noncyclic contractions and relatively nonexpansive mappings in strictly convex fuzzy metric spaces
- Source :
- AIMS Mathematics, Vol 7, Iss 11, Pp 20230-20246 (2022)
- Publication Year :
- 2022
- Publisher :
- AIMS Press, 2022.
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 7
- Issue :
- 11
- Database :
- Directory of Open Access Journals
- Journal :
- AIMS Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.5af0776579dd42708e0466b664c802c5
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/math.20221107?viewType=HTML