Fixed point results for fuzzy mappings in a b-metric space

Abstract

In this paper, we establish some fixed point results for fuzzy mappings in a complete dislocated b-metric space. Our results generalize and extend the results of Joseph et al. (SpringerPlus 5:Article ID 217, 2016). We also give examples to support our results, and applications relating the results to a fixed point for multivalued mappings and fuzzy mappings are studied. MSC: 46S40; 47H10; 54H25

Fixed point results for a pair of fuzzy mappings and related applications in b-metric like spaces

“…Heilpern [17] established a fixed point theorem for fuzzy maps that can be considered an analogue of Nadler's multivalued result [25] in metric spaces. Motivated by the Heilpern's results, the fixed point theory for fuzzy contraction using the Hausdorff metric spaces has become more mature in different directions by various authors [32][33][34].…”

Fixed Point Results for the Family of Multivalued F-Contractive Mappings on Closed Ball in Complete Dislocated b-Metric Spaces

“…Recently Shoaib et al [7] discussed the results for the family of multivalued mappings satisfying contranction on a sequence in a closed ball in Hausdorff fuzzy metric space. For further results on closed ball, see [7,8,[22][23][24][25][26][27].…”

Common Fixed Points of Intuitionistic Fuzzy Maps for Meir-Keeler Type Contractions

“…In the same year, Azam and Tabassum [24] established and proved fixed point theorems of intuitionistic fuzzy mappings in quasi-pseudometric spaces. Recently, Kumam et al [25] and Shoaib et al [26] derived and proved some fuzzy fixed point results for fuzzy mappings in complete b-metric spaces. Humaira et al [27] established and proved fuzzy fixed point results for Φ−contractive mapping and gave some applications.…”