Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints

S Dempe - 2003 - Taylor & Francis
In this bibliography main directions of research as well as main fields of applications of
bilevel programming problems and mathematical programs with equilibrium constraints are …

Well-posedness of mixed variational inequalities, inclusion problems and fixed point problems

YP Fang, NJ Huang, JC Yao - Journal of Global Optimization, 2008 - Springer
We generalize the concept of well-posedness to a mixed variational inequality and give
some characterizations of its well-posedness. Under suitable conditions, we prove that the …

Well-Posedness and L-Well-Posedness for Quasivariational Inequalities

MB Lignola - Journal of Optimization Theory and Applications, 2006 - Springer
In this paper, two concepts of well-posedness for quasivariational inequalities having a
unique solution are introduced. Some equivalent characterizations of these concepts and …

Well-posedness by perturbations of mixed variational inequalities in Banach spaces

YP Fang, NJ Huang, JC Yao - European Journal of Operational Research, 2010 - Elsevier
In this paper, we consider an extension of the notion of well-posedness by perturbations,
introduced by Zolezzi for a minimization problem, to a mixed variational inequality problem …

Well-posedness for mixed quasivariational-like inequalities

LC Ceng, N Hadjisavvas, S Schaible… - Journal of Optimization …, 2008 - Springer
In this paper, we introduce concepts of well-posedness, and well-posedness in the
generalized sense, for mixed quasivariational-like inequalities where the underlying map is …

[HTML][HTML] Parametric well-posedness for variational inequalities defined by bifunctions

YP Fang, R Hu - Computers & Mathematics with Applications, 2007 - Elsevier
In this paper we introduce the concepts of parametric well-posedness for Stampacchia and
Minty variational inequalities defined by bifunctions. We establish some metric …

Well-posedness of generalized mixed variational inequalities, inclusion problems and fixed-point problems

LC Ceng, JC Yao - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
We introduced and studied the concept of well-posedness to a generalized mixed
variational inequality. Some characterizations are given. Under suitable conditions, we …

α-Well-posedness for Nash Equilibria and For Optimization Problems with Nash Equilibrium Constraints

MB Lignola, J Morgan - Journal of Global Optimization, 2006 - Springer
We present the concepts of α-well-posedness for parametric noncooperative games and for
optimization problems with constraints defined by parametric Nash equilibria. We investigate …

Approximations and well-posedness in multicriteria games

J Morgan - Annals of Operations Research, 2005 - Springer
First, sufficient conditions of minimal character are given which guarantee the sequential
closedness of the set-valued function defined by the parametric weak-multicriteria Nash …

Levitin–Polyak well-posedness by perturbations of inverse variational inequalities

R Hu, YP Fang - Optimization Letters, 2013 - Springer
The purpose of this paper is to investigate Levitin–Polyak type well-posedness for inverse
variational inequalities. We establish some metric characterizations of Levitin–Polyak α-well …