[PDF][PDF] Equivalence of well-posedness between systems of hemivariational inequalities and inclusion problems

YM Wang, YB Xiao, X Wang, YJ Cho - J. Nonlinear Sci. Appl, 2016 - kurims.kyoto-u.ac.jp
In this paper, we generalize the concept of well-posedness to a system of hemivariational
inequalities in Banach space. By introducing several concepts of well-posedness for …

Well-posedness for set optimization problems

WY Zhang, SJ Li, KL Teo - Nonlinear Analysis: Theory, Methods & …, 2009 - Elsevier
In this paper, three kinds of well-posedness for set optimization are first introduced. By virtue
of a generalized Gerstewitz's function, the equivalent relations between the three kinds of …

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 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 …

[HTML][HTML] Well-posedness for equilibrium problems and for optimization problems with equilibrium constraints

YP Fang, R Hu, NJ Huang - Computers & Mathematics with Applications, 2008 - Elsevier
In this paper we generalize the concepts of well-posedness to equilibrium problems and to
optimization problems with equilibrium constraints. We establish some metric …

Well-posedness for multi-time variational inequality problems via generalized monotonicity and for variational problems with multi-time variational inequality …

S Jha, P Das, S Bandhyopadhyay, S Treanţă - Journal of Computational …, 2022 - Elsevier
The present paper investigates the well-posedness associated with multi-time variational
inequality problems and the corresponding variational problems involving aforesaid …

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 …

Metric characterizations for well-posedness of split hemivariational inequalities

Q Shu, R Hu, Y Xiao - Journal of inequalities and Applications, 2018 - Springer
In this paper, we generalize the concept of well-posedness to a class of split hemivariational
inequalities. By imposing very mild assumptions on involved operators, we establish some …