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

Fixed Point Theory and Applications

Aqeel Shahzad¹  Abdullah Shoaib¹  Qasim Mahmood¹  Supak Phiangsungnoen²  Poom Kumam³ 

[1] Department of Mathematics and Statistics, Riphah International University;Department of Mathematics, Faculty of Liberal Arts, Rajamangala University of Technology Rattanakosin (RMUTR);Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT);

关键词: fixed point;    closed ball;    complete dislocated b-metric space;    fuzzy mapping;    Hausdorff metric space;   

DOI  :  10.1186/s13663-017-0626-8

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown