Lexicographic and sequential equilibrium problems

Monica Bianchi; I. V. Konnov; Rita Pini; R. Pini

doi:10.1007/s10898-009-9439-6

Lexicographic and sequential equilibrium problems

Monica Bianchi
, I. V. Konnov
, Rita Pini
, R. Pini

Kazan Volga Region Federal University
University of Milan - Bicocca

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

The aim of this work is to analyze lexicographic equilibrium problems on a topological Hausdorff vector space X, and their relationship with some other vector equilibrium problems. Existence results for the tangled lexicographic problem are proved via the study of a related sequential problem. This approach was already followed by the same authors in the case of variational inequalities.

Original language	English
Pages (from-to)	551-560
Number of pages	10
Journal	Journal of Global Optimization
Volume	Vol. 46
DOIs	https://doi.org/10.1007/s10898-009-9439-6
Publication status	Published - 2010

Keywords

equilibrium problems
lexicographic order
sequential equilibrium problems

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10.1007/s10898-009-9439-6

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@article{3fe334a123504fd0accfb4ec698aae82,

title = "Lexicographic and sequential equilibrium problems",

abstract = "The aim of this work is to analyze lexicographic equilibrium problems on a topological Hausdorff vector space X, and their relationship with some other vector equilibrium problems. Existence results for the tangled lexicographic problem are proved via the study of a related sequential problem. This approach was already followed by the same authors in the case of variational inequalities.",

keywords = "equilibrium problems, lexicographic order, sequential equilibrium problems, equilibrium problems, lexicographic order, sequential equilibrium problems",

author = "Monica Bianchi and Konnov, \{I. V.\} and Rita Pini and R. Pini",

year = "2010",

doi = "10.1007/s10898-009-9439-6",

language = "English",

volume = "Vol. 46",

pages = "551--560",

journal = "Journal of Global Optimization",

issn = "0925-5001",

publisher = "Springer Netherlands",

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TY - JOUR

T1 - Lexicographic and sequential equilibrium problems

AU - Bianchi, Monica

AU - Konnov, I. V.

AU - Pini, Rita

AU - Pini, R.

PY - 2010

Y1 - 2010

N2 - The aim of this work is to analyze lexicographic equilibrium problems on a topological Hausdorff vector space X, and their relationship with some other vector equilibrium problems. Existence results for the tangled lexicographic problem are proved via the study of a related sequential problem. This approach was already followed by the same authors in the case of variational inequalities.

AB - The aim of this work is to analyze lexicographic equilibrium problems on a topological Hausdorff vector space X, and their relationship with some other vector equilibrium problems. Existence results for the tangled lexicographic problem are proved via the study of a related sequential problem. This approach was already followed by the same authors in the case of variational inequalities.

KW - equilibrium problems

KW - lexicographic order

KW - sequential equilibrium problems

KW - equilibrium problems

KW - lexicographic order

KW - sequential equilibrium problems

UR - http://hdl.handle.net/10807/22118

U2 - 10.1007/s10898-009-9439-6

DO - 10.1007/s10898-009-9439-6

M3 - Article

SN - 0925-5001

VL - Vol. 46

SP - 551

EP - 560

JO - Journal of Global Optimization

JF - Journal of Global Optimization

ER -

Lexicographic and sequential equilibrium problems

Abstract

Keywords

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