  The purpose of this paper is to introduce the class of enriched interpolative
Kannan type operators on Banach space that contains the classes of enriched
Kannan operators, interpolative Kannan type contraction operators and some
other classes of nonlinear operators. Some examples are presented to support
the concepts introduced herein. A convergence theorem for the Krasnoselskii
iteration method to approximate fixed point of the enriched interpolative
Kannan type operators is proved. We study well-posedness, Ulam-Hyers stability
and periodic point property of operators introduced herein. As an application
of the main result, variational inequality problem is solved.
