Fixed Point Theorem for Interpolative F- contraction in Complete b-Metric Spaces

This paper establishes a fixed point theorem for interpolative Kannan-type cyclic contractions on the union of two non-empty subsets of a complete b-metric space. By using the framework of F-contractions, we prove the existence and uniqueness of a fixed point in the intersection of the subsets. Our approach extends classical results by incorporating a generalized contraction condition controlled by a nonlinear function F. The findings contribute to the ongoing development of fixed point theory and offer broader applicability in nonlinear analysis.