Affiliation:
1. Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan
2. Department of Mathematics and Computer Sciences, Transilvania University of Brasov, 500123 Brasov, Romania
Abstract
The aim of this paper is manifold. We first define the new class of operators called MR-Kannan interpolative type contractions, which includes the Kannan, enriched Kannan, interpolative Kannan type, and enriched interpolative Kannan type operators. Secondly, we prove the existence of a unique fixed point for this class of operators. Thirdly, we study Ulam-Hyers stability, well-posedness, and periodic point properties. Finally, an application of the main results to the variational inequality problem is given.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)