In 2018, Erdal Karapinar introduced the concept of interpolative Kannan operators, a novel adaptation of the Kannan mapping originally defined in 1969 by Kannan.This new mapping condition is more lenient than the basic contraction Fruit / Vegetable Wedgers condition.In this paper, we study the concept by introducing the IKC-iterated function/multi-function system using interpolative Kannan operators, including a broader area of mappings.Moreover, we establish the Collage Theorem endowed with the iterated function system (IFS) based on the IKC, and show the Lamp Holders well-posedness of the IKC-IFS.Interpolative Kannan contractions are meaningful due to their applications in fractals, offering a more versatile framework for creating intricate geometric structures with potentially fewer constraints compared to classical approaches.