60 citations · 134 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
Convergence and Optimization Results for a History-dependent Variational Problem
Mircea Sofonea, Andaluzia Matei
We consider a mixed variational problem in real Hilbert spaces, defined on on the unbounded interval of time and governed by a history-dependent operator. We state the unique solva…
Convergence Analysis of Penalty Based Numerical Methods for Constrained Inequality Problems
Weimin Han, Mircea Sofonea
This paper presents a general convergence theory of penalty based numerical methods for elliptic constrained inequality problems, including variational inequalities, hemivariationa…
Solvability and optimization for a class of mixed variational problems
Andaluzia Matei, Mircea Sofonea
We consider an abstract mixed variational problem governed by a nonlinear operator and a bifunctional , in a real reflexive Banach space . The operator is assumed to…
Time-dependent Inclusions and Sweeping Processes in Contact Mechanics
Samir Adly, Mircea Sofonea
We consider a class of time-dependent inclusions in Hilbert spaces for which we state and prove an existence and uniqueness result. The proof is based on arguments of variational i…