Lower semicontinuity and upper semicontinuity of the solution sets and approximate solution sets of parametric multivalued quasivariational inequalities

PQ Khanh, LM Luu - Journal of Optimization Theory and Applications, 2007 - Springer
We consider the semicontinuity of the solution set and the approximate solution set of
parametric multivalued quasivariational inequalities in topological vector spaces. Three …

Stability of quasimonotone variational inequality under sign-continuity

D Aussel, J Cotrina - Journal of Optimization Theory and Applications, 2013 - Springer
Whenever the data of a Stampacchia variational inequality, that is, the set-valued operator
and/or the constraint map, are subject to perturbations, then the solution set becomes a …

[PDF][PDF] Quasimonotone variational inequalities and quasiconvex programming: qualitative stability

MA Mansour, D Aussel - Journal of Convex Analysis, 2008 - researchgate.net
QUASIMONOTONE VARIATIONAL INEQUALITIES AND QUASICONVEX PROGRAMMING:
QUANTITATIVE STABILITY Keywords: Quasimonotone variational i Page 1 QUASIMONOTONE …

Upper semicontinuity of the solution set to parametric vector quasivariational inequalities

PQ Khanh, LM Luu - Journal of Global Optimization, 2005 - Springer
We prove the upper semicontinuity (in term of the closedness) of the solution set with respect
to parameters of vector quasivariational inequalities involving multifunctions in topological …

Painlevé–Kuratowski convergences of the solution sets for generalized vector quasi-equilibrium problems

LQ Anh, T Bantaojai, N Van Hung, VM Tam… - Computational and …, 2018 - Springer
In this paper, we consider vector quasi-equilibrium problems under perturbation in terms of
suitable asymptotically solving sequences, not embedding given problems into a …

Slightly altruistic equilibria

G De Marco, J Morgan - Journal of Optimization Theory and Applications, 2008 - Springer
We introduce a refinement concept for Nash equilibria (slightly altruistic equilibrium) defined
by a limit process and which captures the idea of reciprocal altruism as presented in …

Painlevé-Kuratowski convergences of the solution sets to perturbed generalized systems

Z Fang, S Li - Acta Mathematicae Applicatae Sinica, English Series, 2012 - Springer
In this paper, we obtain the Painlevé-Kuratowski Convergence of the efficient solution sets,
the weak efficient solution sets and various proper efficient solution sets for the perturbed …

Scalarization and Kuhn-Tucker-like conditions for weak vector generalized quasivariational inequalities

J Morgan, M Romaniello - Journal of Optimization Theory and Applications, 2006 - Springer
We consider a weak vector generalized quasivariational inequality. By introducing a method
of scalarization which does not require any assumption on the data and by using previous …

Levitin–Polyak well-posedness of generalized quasivariational inequalities with functional constraints

B Jiang, J Zhang, XX Huang - Nonlinear Analysis: Theory, Methods & …, 2009 - Elsevier
In this paper, we study Levitin–Polyak type well-posedness for generalized quasivariational
inequality problems with explicit constraints. Four types of Levitin–Polyak well-posedness …

Approximations of equilibrium problems

R López - SIAM Journal on Control and Optimization, 2012 - SIAM
In this paper we study the scalar equilibrium problem (EP). We employ variational
convergences of bifunctions (lopsided convergence in the maxinf framework, hypo …