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A novel algorithm for strongly monotone variational inequalities with the multiple-sets split variational inequality problem constraints
A novel algorithm for strongly monotone variational inequalities with the multiple-sets split variational inequality problem constraints
Trần Việt Anh
This paper introduces a new algorithm for solving strongly monotone variational inequality problems over the solution set of the multiple-sets split variational inequality problem. We prove that the algorithm converges strongly without requiring knowledge of the Lipschitz or strongly monotone constants of the mappings. Moreover, no prior information about the norm of the bounded linear operator is necessary. Special cases are discussed, and numerical examples are presented to illustrate the performance of the algorithm.
Xuất bản trên:
A novel algorithm for strongly monotone variational inequalities with the multiple-sets split variational inequality problem constraints
Ngày đăng:
2025
Nhà xuất bản:
Arabian Journal of Mathematics
Địa điểm:
Từ khoá:
Multiple-sets split variational inequality problem, Multiple-sets split feasibility problem, Bilevel split variational inequality problem