arXiv subjects

Daniela Inoan

Publications and source records attributed to Daniela Inoan.

2 recordsLinked to original sources

arXiv2020

Calmness of the solution mapping of Navier-Stokes problems modeled by hemivariational inequalities

The main purpose of this paper is to find conditions for Holder calmness of the solution mapping, viewed as a function of the boundary data, of a hemivariational inequality governed by the Navier-Stokes operator. To this end, a more abstract model is studied first: a class of parametric equilibrium problems defined by trifunctions. The presence of trifunctions allows the extension of the monotonicity notions and of the duality principle in the theory of equilibrium problems.

math.OC↗

arXiv2013

Factorization of quasi-variational relations systems

Variational relation problems allow a general approach for variational inequalities, equilibrium problems, optimization problems, variational inclusions. In this paper we consider a system of quasi-variational relations and determine some conditions in which the solvability of the independent problems imply the existence of a solution for the system. We particularize then the result for a system of variational inequalities and for a constrained Nash equilibrium problem.

math.OC↗