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20172021
most citedOn the Optimal Control of Variational-Hemivariational Inequalities

60 citations · 70 across the 8 of their papers we have counts for

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Showing 2019Show all

5 papers · 1 filter

math.AP2019★ 8 cited

Tykhonov Well-posedness of Elliptic Variational-Hemivariational Inequalities

Mircea Sofonea, Yi-bin Xiao

We consider a class of elliptic variational-hemivaria\-tional inequalities in a abstract Banach space for which we introduce the concept of well-posedness in the sense of Tykhonov.…

math.AP2019★ 60 cited

On the Optimal Control of Variational-Hemivariational Inequalities

Yi-bin Xiao, Mircea Sofonea

The present paper represents a continuation of our previous one. There, a continuous dependence result for the solution of an elliptic variational-hemivariational inequality was ob…

math.OC2019

Variational and numerical analysis of a dynamic viscoelastic contact problem with friction and wear

Tao Chen, Nan-jing Huang, Yi-bin Xiao

In this paper, we consider a dynamic viscoelastic contact problem with friction and wear, and describe it as a system of nonlinear partial differential equations. We formulate the…

math.OC2019

Golden ratio algorithms with new stepsize rules for variational inequalities

Dang Van Hieu, Yeol Je Cho, Yi-bin Xiao

In this paper, we introduce two golden ratio algorithms with new stepsize rules for solving pseudomonotone and Lipschitz variational inequalities in finite dimensional Hilbert spac…

math.OC2019★ 1 cited

On AKKT optimality conditions for cone-constrained vector optimization problems

Nguyen Van Tuyen, Yi-Bin Xiao, Ta Quang Son

In this paper, we introduce a kind of approximate Karush--Kuhn--Tucker condition (AKKT) for a smooth cone-constrained vector optimization problem. We show that, without any constra…