Best Proximity Point Results for Fuzzy Proximal Quasi Contractions with Applications

Abstract

In this work, we introduce a new type of multivalued fuzzy proximal quasi-contraction. These are generalized contractions which are a hybrid of H-contractive mappings and quasi-contractions. Furthermore, we establish the best proximity point results for newly introduced fuzzy contractions in the context of fuzzy b-metric spaces. Fuzzy b-metric spaces are more general than fuzzy metric spaces and are linked with the cosine distance, which is used in various contexts of artificial intelligence to measure the similarity between elements of a vector space.

Keywords

• fuzzy <i>b</i>-metric spaces
• fuzzy proximal contractions
• best proximity points
• cosine distance