[PDF][PDF] Well-posedness of hemivariational inequalities and inclusion problems

Y Xiao, N Huang, MM Wong - Taiwanese Journal of Mathematics, 2011 - projecteuclid.org
In the present paper, we generalize the concept of well-posedness to a hemivariational
inequality, give some metric characterizations of the wellposed hemivariational inequality …

On the well-posedness of differential mixed quasi-variational-inequalities

Z Liu, D Motreanu, S Zeng - 2018 - projecteuclid.org
We discuss the well-posedness and the well-posedness in the generalized sense of
differential mixed quasi-variational inequalities ((DMQVIs), for short) in Hilbert spaces. This …

Well-posedness for vector quasiequilibria

LQ Anh, PQ Khanh, DTM Van… - Taiwanese Journal of …, 2009 - projecteuclid.org
We consider well-posedness under perturbations of vector quasiequilibrium and bilevel-
equilibrium problems. This kind of well-posedness relates Hadamard and Tikhonov well …

Well-posedness under relaxed semicontinuity for bilevel equilibrium and optimization problems with equilibrium constraints

LQ Anh, PQ Khanh, DTM Van - Journal of Optimization Theory and …, 2012 - Springer
Bilevel equilibrium and optimization problems with equilibrium constraints are considered.
We propose a relaxed level closedness and use it together with pseudocontinuity …

Stability of solution mappings for parametric bilevel vector equilibrium problems

LQ Anh, N Van Hung - Computational and Applied Mathematics, 2018 - Springer
In this paper, we first revisit the parametric bilevel vector equilibrium problems in Hausdorff
topological vector spaces. Then we study the stability conditions such as (Hausdorff) upper …

Stability of approximating solutions to parametric bilevel vector equilibrium problems and applications

N Van Hung, NM Hai - Computational and Applied Mathematics, 2019 - Springer
In this paper, we establish sufficient conditions for the approximate solution mappings of
parametric bilevel equilibrium problems with stability properties such as upper …

Levitin–Polyak well-posedness of variational inequalities

R Hu, Y Fang - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
In this paper we consider the Levitin–Polyak well-posedness of variational inequalities. We
derive a characterization of the Levitin–Polyak well-posedness by considering the size of …

Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems

SJ Li, CR Chen, XB Li, KL Teo - European Journal of Operational Research, 2011 - Elsevier
In this paper, we establish the Hölder continuity of solution mappings to parametric vector
quasiequilibrium problems in metric spaces under the case that solution mappings are set …

Well-posedness for mixed quasi-variational-hemivariational inequalities

Z Liu, S Zeng, B Zeng - 2016 - projecteuclid.org
In this paper, we consider the well-posedness of mixed quasi-variational-hemivariational
inequalities ((MQVHVI) for short). By introducing a new concept of the α-η-monotone …

Levitin–Polyak well-posedness for equilibrium problems with the lexicographic order

LQ Anh, TQ Duy, PQ Khanh - Positivity, 2021 - Springer
The aim of this work is to investigate optimization-related problems with the objective spaces
ordered by the lexicographic cones, including parametric lexicographic equilibrium …