Generalized well-posedness for symmetric vector quasi-equilibrium problems

Wei Bing Zhang; Nan Jing Huang; Donal O'Regan

doi:10.1155/2015/108357

Generalized well-posedness for symmetric vector quasi-equilibrium problems

Wei Bing Zhang
, Nan Jing Huang
, Donal O'Regan

Mathematics

Sichuan University
King Abdulaziz University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well-posedness for the symmetric vector quasi-equilibrium problem.

Original language	English
Article number	108357
Journal	Journal of Applied Mathematics
Volume	2015
DOIs	https://doi.org/10.1155/2015/108357
Publication status	Published - 24 Feb 2015

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title = "Generalized well-posedness for symmetric vector quasi-equilibrium problems",

abstract = "We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well-posedness for the symmetric vector quasi-equilibrium problem.",

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AU - Huang, Nan Jing

AU - O'Regan, Donal

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N2 - We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well-posedness for the symmetric vector quasi-equilibrium problem.

AB - We introduce and study well-posedness in connection with the symmetric vector quasi-equilibrium problem, which unifies its Hadamard and Levitin-Polyak well-posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well-posedness for the symmetric vector quasi-equilibrium problem.

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U2 - 10.1155/2015/108357

DO - 10.1155/2015/108357

M3 - Article

SN - 1110-757X

VL - 2015

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

M1 - 108357

ER -

Generalized well-posedness for symmetric vector quasi-equilibrium problems

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