Applications to Solving Variational Inequality Problems via MR-Kannan Type Interpolative Contractions

Rizwan Anjum, Andreea Fulga () and Muhammad Waqar Akram
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Rizwan Anjum: Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan
Andreea Fulga: Department of Mathematics and Computer Sciences, Transilvania University of Brasov, 500123 Brasov, Romania
Muhammad Waqar Akram: Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan

Mathematics, 2023, vol. 11, issue 22, 1-11

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.

Keywords: Kannan contraction; interpolative Kannan type contraction; enriched Kannan operators; enriched interpolative Kannan type contraction; fixed point; well-posedness; variational inequality problem; periodic point property; Ulam-Hyers stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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