Abstract:
The purpose of this paper is to introduce the class of enriched in-
terpolative Kannan type operators on Banach space that contains the
classes of enriched Kannan operators, interpolative Kannan type con-
traction 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 approx-
imate xed 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.
