Fixed point results of enriched interpolative Kannan type operators with applications


  • Mujahid Abbas Government College University ; University of Pretoria
  • Rizwan Anjum Riphah International University
  • Shakeela Riasat Government College University



Fixed point, enriched Kannan operators, interpolative Kannan type contraction, Krasnoselskij iteration, well-posedness, periodic point, Ulam-Hyers stability, variational inequality problem


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 Krasnoselskij 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 problems is solved.


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Author Biographies

Mujahid Abbas, Government College University ; University of Pretoria

Department of Mathematics, Government College University (Pakistan) ; Department of Mathematics and Applied Mathematics, University of Pretoria (South Africa)

Rizwan Anjum, Riphah International University

Department of Mathematics, Riphah Institute of Computing and Applied Sciences

Shakeela Riasat, Government College University

Abdus Salam School of Mathematical Sciences


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How to Cite

M. Abbas, R. Anjum, and S. Riasat, “Fixed point results of enriched interpolative Kannan type operators with applications”, Appl. Gen. Topol., vol. 23, no. 2, pp. 391–404, Oct. 2022.