Existence of Fuzzy Fixed Points and Common Fuzzy Fixed Points for <inline-formula><math display="inline"><semantics><mi mathvariant="script">FG</mi></semantics></math></inline-formula>-Contractions with Applications

Abstract

This article contains results of the existence of fuzzy fixed points of fuzzy mappings that satisfy certain contraction conditions using the platform of partial b-metric spaces. Some non-trivial examples are provided to authenticate the main results. The constructed results in this work will likely stimulate new research directions in fuzzy fixed-point theory and related hybrid models. Eventually, some fixed-point results on multivalued mappings are established. These theorems provide an excellent application of main theorems on fuzzy mappings. The results of this article are extensions of many already existing results in the literature.

Keywords

• partial <i>b</i>-metric space (pbMS)
• closed ball
• multi-valued contraction
• fuzzy sets