Common Fixed Point Results for Intuitionistic Fuzzy Hybrid Contractions with Related Applications

Mohammed Shehu Shagari, Shazia Kanwal, Akbar Azam, Hassen Aydi*, Yaé Ulrich Gaba*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Over time, hybrid fixed point results have been examined merely in the framework of classical mathematics. This one way research has clearly dropped-off a great amount of important results, considering the fact that a fuzzy set is a natural enhancement of a crisp set. In order to entrench hybrid fixed notions in fuzzy mathematics, this paper focuses on introducing a new idea under the name intuitionistic fuzzy p-hybrid contractions in the realm of -metric spaces. Sufficient conditions for the existence of common intuitionistic fuzzy fixed points for such maps are established. In the instance where our presented results are slimmed down to their equivalent nonfuzzy counterparts, the concept investigated herein unifies and generalizes a significant number of well-known fixed point theorems in the setting of both single-valued and multivalued mappings in the corresponding literature. A handful of these special cases are highlighted and analysed as corollaries. A nontrivial example is put together to indicate that the hypotheses of our results are valid.

Original languageEnglish
Article number2260153
JournalJournal of Mathematics
Publication statusPublished - 2023
Externally publishedYes


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