The modular fuzzy b-metric space is defined in this study, and we are interested in proving a general common fixed point theorem for a pair multi-valued mappings in Hausdorff modular fuzzy b-metric spaces. The findings in this work generalize the findings in [15] and produce additional specific findings that are supported by examples. An application toprove the existence of an integral inclusion equation’s solution is shown to demonstrate theimportance of our result.
2010 Mathematics Subject Classification. Primary 47H10; Secondary 54H25.