Interpolative contractions and intuitionistic fuzzy set-valued maps with applications

Interpolative contractions and intuitionistic fuzzy set-valued maps with applications

Blog Article

Over time, the interpolative approach in fixed point theory (FPT) has been investigated only in the setting of crisp mathematics, thereby dropping-off a significant amount of useful results.As an attempt to fill up the aforementioned gaps, this paper initiates certain hybrid concepts under the names of interpolative Hardy-Rogers-type (IHRT) and interpolative Reich-Rus-Ciric type (IRRCT) intuitionistic fuzzy contractions in the frame of metric space (MS).Adequate criteria for the existence 7-Keto of intuitionistic fuzzy fixed point (FP) for such contractions are examined.On the basis that FP of a single-valued mapping obeying interpolative type contractive inequality is not always unique, and thereby making the ideas more suitable for FP theorems of multi-valued mappings, a few special cases regarding point-to-point and non-fuzzy set-valued mappings which include the conclusions of some well-known results in the corresponding literature 3m Coaxial are highlighted and discussed.

In addition, comparative examples which dwell on the generality of our obtained results are constructed.