Abbas, MujahidAnjum, RizwanRiasat, Shakeela2023-04-242023-04-242022Abbas, M., Anjum, R. & Riasat. S. 2022, 'Fixed point results of enriched interpolative Kannan type operators with applications', Applied General Topology, vol. 23, no. 2, pp. 391-404, doi : 10.4995/agt.2022.16701.1576-9402 (print)1989-4147 (online)10.4995/agt.2022.16701http://hdl.handle.net/2263/90429The 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.en© AGT, UPV, 2022.Fixed pointEnriched Kannan operators;Interpolative Kannan type contractionWell-posednessPeriodic pointUlam-Hyers stabilityVariational inequality problemKrasnoselskii iterationArticle