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

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