60 citations · 70 across the 8 of their papers we have counts for
8 papers
A new class of differential quasivariational inequalities with an application to a quasistatic viscoelastic frictional contact problem
Xu Chu, Tao Chen, Nan-jing Huang +1
The overarching goal of this paper is to introduce and investigate a new nonlinear system driven by a nonlinear differential equation, a history-dependent quasivariational inequali…
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.…
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…
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…
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…
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…
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…
Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions
Yi-Bin Xiao, Nguyen Van Tuyen, Ching-Feng Wen +1
In the present paper, we are concerned with a class of constrained vector optimization problems, where the objective functions and active constraint functions are locally Lipschitz…