On well-posedness for parametric vector quasiequilibrium problems with moving cones

Lam Quoc Anh; Dinh Vinh Hien

Applications of Mathematics (2016)

  • Volume: 61, Issue: 6, page 651-668
  • ISSN: 0862-7940

Abstract

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In this paper we consider weak and strong quasiequilibrium problems with moving cones in Hausdorff topological vector spaces. Sufficient conditions for well-posedness of these problems are established under relaxed continuity assumptions. All kinds of well-posedness are studied: (generalized) Hadamard well-posedness, (unique) well-posedness under perturbations. Many examples are provided to illustrate the essentialness of the imposed assumptions. As applications of the main results, sufficient conditions for lower and upper bounded equilibrium problems and elastic traffic network problems to be well-posed are derived.

How to cite

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Anh, Lam Quoc, and Hien, Dinh Vinh. "On well-posedness for parametric vector quasiequilibrium problems with moving cones." Applications of Mathematics 61.6 (2016): 651-668. <http://eudml.org/doc/287532>.

@article{Anh2016,
abstract = {In this paper we consider weak and strong quasiequilibrium problems with moving cones in Hausdorff topological vector spaces. Sufficient conditions for well-posedness of these problems are established under relaxed continuity assumptions. All kinds of well-posedness are studied: (generalized) Hadamard well-posedness, (unique) well-posedness under perturbations. Many examples are provided to illustrate the essentialness of the imposed assumptions. As applications of the main results, sufficient conditions for lower and upper bounded equilibrium problems and elastic traffic network problems to be well-posed are derived.},
author = {Anh, Lam Quoc, Hien, Dinh Vinh},
journal = {Applications of Mathematics},
keywords = {quasiequilibrium problem; lower bounded equilibrium problem; upper bounded equilibrium problem; network traffic problem; well-posedness; $C$-upper semicontinuity; $C$-lower semicontinuity; quasiequilibrium problem; lower bounded equilibrium problem; upper bounded equilibrium problem; network traffic problem; well-posedness; -upper semicontinuity; -lower semicontinuity},
language = {eng},
number = {6},
pages = {651-668},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On well-posedness for parametric vector quasiequilibrium problems with moving cones},
url = {http://eudml.org/doc/287532},
volume = {61},
year = {2016},
}

TY - JOUR
AU - Anh, Lam Quoc
AU - Hien, Dinh Vinh
TI - On well-posedness for parametric vector quasiequilibrium problems with moving cones
JO - Applications of Mathematics
PY - 2016
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 6
SP - 651
EP - 668
AB - In this paper we consider weak and strong quasiequilibrium problems with moving cones in Hausdorff topological vector spaces. Sufficient conditions for well-posedness of these problems are established under relaxed continuity assumptions. All kinds of well-posedness are studied: (generalized) Hadamard well-posedness, (unique) well-posedness under perturbations. Many examples are provided to illustrate the essentialness of the imposed assumptions. As applications of the main results, sufficient conditions for lower and upper bounded equilibrium problems and elastic traffic network problems to be well-posed are derived.
LA - eng
KW - quasiequilibrium problem; lower bounded equilibrium problem; upper bounded equilibrium problem; network traffic problem; well-posedness; $C$-upper semicontinuity; $C$-lower semicontinuity; quasiequilibrium problem; lower bounded equilibrium problem; upper bounded equilibrium problem; network traffic problem; well-posedness; -upper semicontinuity; -lower semicontinuity
UR - http://eudml.org/doc/287532
ER -

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