Well-Posedness and Structural Stability on a System of Simultaneous Generalized Vector Quasi-Equilibrium Problems

In this paper, we establish the stable results for a system of simultaneous generalized vector quasi-equilibrium problems (SSGVQEP) by using its bounded rationality model. Under the abstract frame, a unified well-posedness on Hadamard types and Tikhonov types well-posedness for SSGVQEP is introduced...

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Bibliographic Details
Published inJournal of the Operations Research Society of China (Internet) Vol. 9; no. 1; pp. 151 - 161
Main Authors Deng, Xi-Cai, Jia, Wen-Sheng, Yang, Yan-Long
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.03.2021
Subjects
Equilibrium
Optimization
Rationality
Structural stability
Well posed problems
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Summary:In this paper, we establish the stable results for a system of simultaneous generalized vector quasi-equilibrium problems (SSGVQEP) by using its bounded rationality model. Under the abstract frame, a unified well-posedness on Hadamard types and Tikhonov types well-posedness for SSGVQEP is introduced. Moreover, sufficient condition for the well-posedness of SSGVQEP is given. Finally, we prove that the majority (in Baire category sense) of SSGVQEP is structural stability.
ISSN:2194-668X
2194-6698
DOI:10.1007/s40305-018-0228-0