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

Lignola, M. Beatrice

doi:10.1007/s10957-005-7561-2

Cited by 77 publications

(44 citation statements)

References 7 publications

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“…In 2008 and 2010, Fang, Hu and Huang generalized the wellposedness to equilibrium problems and systems of equilibrium problems in [5,8]. Refer to [2,11,13] for more details.…”

Section: Introductionmentioning

confidence: 99%

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

Wang¹,

Xiao²,

Wang³

et al. 2016

J. Nonlinear Sci. Appl.

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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 systems of hemivariational inequalities considered, we establish some metric characterizations of well-posedness and prove some equivalence results of strong (generalized) well-posedness between a system of hemivariational inequalities and its derived system of inclusion problems.

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“…In 2008 and 2010, Fang, Hu and Huang generalized the wellposedness to equilibrium problems and systems of equilibrium problems in [5,8]. Refer to [2,11,13] for more details.…”

Section: Introductionmentioning

confidence: 99%

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

Wang¹,

Xiao²,

Wang³

et al. 2016

J. Nonlinear Sci. Appl.

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“…In [20] QVI solutions existence was considered via Tychonov well-posedness tool. The paper is henceforth devoted to the well-posedness properties of QVI.…”

Section: Setting the Qvi Problemmentioning

confidence: 99%

Optimal control of a quasi-variational obstacle problem

Adly

Bergounioux

Mansour³

2008

J Glob Optim

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“…By using Ekeland's theorem, they gave a characterization of Tykhonov's well-posedness for a minimizing problem with a convex lower semi-continuous function on a closed convex set. Since then, various kinds of well-posedness for optimization problems, such as LP well-posedness and generalized well-posedness etc., are extended to develop the well-posedness for variational inequalities and their related problems, such as equilibrium problems, fixed point problems, inclusion problems and others; see e.g., [3,11,14,17,20].…”

Section: Introductionmentioning

confidence: 99%

Well-posedness for systems of time-dependent hemivariational inequalities in Banach spaces

Ceng¹,

Liou²,

Yao³

et al. 2017

J. Nonlinear Sci. Appl.

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In this paper, we generalize the concept of α-well-posedness to a system of time-dependent hemivariational inequalities without Volterra integral terms in Banach spaces. We establish some metric characterizations of α-well-posedness and prove some equivalence results of strong α-well-posedness (resp., in the generalized sense) between a system of time-dependent hemivariational inequalities and its derived system of inclusion problems.

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

Cited by 77 publications

References 7 publications

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

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

Optimal control of a quasi-variational obstacle problem

Well-posedness for systems of time-dependent hemivariational inequalities in Banach spaces

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