Applications to Solving Variational Inequality Problems via MR-Kannan Type Interpolative Contractions
Rizwan Anjum,
Andreea Fulga,
Muhammad Waqar Akram
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.
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