Common coincidence points for Nadler’s type hybrid fuzzy contractions

Abstract

Abstract In the framework of complete metric spaces, the major objective of this paper is to investigate if a common coincidence point exists for more than two fuzzy mappings meeting the criteria of hybrid fuzzy contractions of Nadler’s type in connection with the Hausdorff metric. Fascinating examples are also provided to show how the strategy can be used. For the presence of a common α-fuzzy fixed point of three and four fuzzy mappings, we have derived sufficient requirements. Further prior observations are offered as corollaries from the relevant literature. Some implications that are clear in this mode and widely covered in literature are expanded upon and included in our study.

Keywords

• b-metric space
• Complex-valued metric space
• Complex-valued extended metric space
• Weakly compatible mappings
• Fixed points
• Coincidence and common fixed points