A Self-Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem. (26th April 2022)

• Record Type: Journal Article
• Authors: Bux, Muhammad; Ullah, Saleem; Arif, Muhammad Shoaib; Abodayeh, Kamaleldin
• Other Names: Nikoli Rale M. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-04-26
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/7078707
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Variational inequalities are considered the most significant field in applied mathematics and optimization because of their massive and vast applications. The current study proposed a novel iterative scheme developed through a fixed-point scheme and formulation for solving variational inequalities. Modification is done by using the self-adaptive technique that provides the basis for predicting a new predictor-corrector self-adaptive for solving nonlinear variational inequalities. The motivation of the presented study is to provide a meaningful extension to existing knowledge through convergence at mild conditions. The numerical interpretation provided a significant boost to the results.