Convergence Results for a Class of Generalized Second-Order Evolutionary Variational–Hemivariational Inequalities

Dong-ling Cai () and Yi-bin Xiao ()
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Dong-ling Cai: University of Electronic Science and Technology of China
Yi-bin Xiao: University of Electronic Science and Technology of China

Journal of Optimization Theory and Applications, 2024, vol. 201, issue 3, No 8, 1168-1197

Abstract: Abstract In this paper, we deal with a class of second-order evolutionary history-dependent variational–hemivariational inequalities with constraint. The unique solvability of the considered second-order evolutionary inequality problem is established via a surjectivity result combined with a fixed point theorem. Moreover, we construct a regularized problem for such second-order evolutionary history-dependent variational–hemivariational inequality and show the convergence of the regularized solutions toward the solution of the original problem under some mild assumptions.

Keywords: Evolutionary variational–hemivariational inequalities; History-dependent; Mosco convergence; Tikhonov regularization; 47J20; 47J35; 49J40; 49J53 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-024-02396-4

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