most citedOn the Optimal Control of Variational-Hemivariational Inequalities

60 citations · 69 across the 4 of their papers we have counts for

collaborators

6 papers

math.AP20198 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.AP201960 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.OC20191 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…

math.OC2018

On second-order sufficient optimality conditions for vector optimization problems

Nguyen Van Tuyen, Jen-Chih Yao, Ching-Feng Wen +1

In this paper, we present some second-order sufficient conditions in terms of the Demyanov-Pevnyi's second-order directional derivatives for efficiency of vector optimization…