Gap functions and existence of solutions to generalized vector quasi-equilibrium problems

S. J. Li; K. L. Teo; Xiaoqi Yang; S. Y. Wu

doi:10.1007/s10898-005-2193-5

Gap functions and existence of solutions to generalized vector quasi-equilibrium problems

S. J. Li
, K. L. Teo
, Xiaoqi Yang
, S. Y. Wu

Research output: Journal article publication › Journal article › Academic research › peer-review

66 Citations (Scopus)

Abstract

This paper deals with generalized vector quasi-equilibrium problems. By virtue of a nonlinear scalarization function, the gap functions for two classes of generalized vector quasi-equilibrium problems are obtained. Then, from an existence theorem for a generalized quasi-equilibrium problem and a minimax inequality, existence theorems for two classes of generalized vector quasi-equilibrium problems are established.

Original language	English
Pages (from-to)	427-440
Number of pages	14
Journal	Journal of Global Optimization
Volume	34
Issue number	3
DOIs	https://doi.org/10.1007/s10898-005-2193-5
Publication status	Published - 1 Mar 2006

Keywords

Generalized vector quasi-equilibrium problem
Minimax inequality
Nonlinear scalarization function

ASJC Scopus subject areas

Applied Mathematics
Control and Optimization
Management Science and Operations Research
Global and Planetary Change

More information

10.1007/s10898-005-2193-5

Cite this

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abstract = "This paper deals with generalized vector quasi-equilibrium problems. By virtue of a nonlinear scalarization function, the gap functions for two classes of generalized vector quasi-equilibrium problems are obtained. Then, from an existence theorem for a generalized quasi-equilibrium problem and a minimax inequality, existence theorems for two classes of generalized vector quasi-equilibrium problems are established.",

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AB - This paper deals with generalized vector quasi-equilibrium problems. By virtue of a nonlinear scalarization function, the gap functions for two classes of generalized vector quasi-equilibrium problems are obtained. Then, from an existence theorem for a generalized quasi-equilibrium problem and a minimax inequality, existence theorems for two classes of generalized vector quasi-equilibrium problems are established.

KW - Generalized vector quasi-equilibrium problem

KW - Minimax inequality

KW - Nonlinear scalarization function

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DO - 10.1007/s10898-005-2193-5

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EP - 440

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Gap functions and existence of solutions to generalized vector quasi-equilibrium problems

Abstract

Keywords

ASJC Scopus subject areas

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