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An intermixed method for solving the combination of mixed variational inequality problems and fixed-point problems
Author(s)
Khuangsatung, Wongvisarut
Date Issued
January 1, 2023
Type
Article
Abstract
In this paper, we introduce an intermixed algorithm with viscosity technique for finding a common solution of the combination of mixed variational inequality problems and the fixed-point problem of a nonexpansive mapping in a real Hilbert space. Moreover, we propose the mathematical tools related to the combination of mixed variational inequality problems in the second section of this paper. Utilizing our mathematical tools, a strong convergence theorem is established for the proposed algorithm. Furthermore, we establish additional conclusions concerning the split-feasibility problem and the constrained convex-minimization problem utilizing our main result. Finally, we provide numerical experiments to illustrate the convergence behavior of our proposed algorithm.
Citation
Journal of Inequalities and Applications, 2023(1), 2023