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

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摘要 In this paper,we establish the stable results for a system of simultaneous general-ized 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.
出处 《Journal of the Operations Research Society of China》 EI CSCD 2021年第1期151-161,共11页 中国运筹学会会刊(英文)
基金 This research was supported by the National Natural Science Foundation of China(Nos.11761023 and 11561013) Support Plan for Science and Technology Top-notch Talents of Guizhou Higher Education Institutions(No.2017[081]) Natural Science Foundation of Guizhou Normal College(No.2017BS009) Natural Science Foundation of Guizhou Province(Nos.[2017]5788,LH[2017]7723 and[2016]5609).
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  • 1中国科学院数学研究所.对策论讲义[M].北京:人民教育出版社,1960..
  • 2Tykhonov A N. On the Stability of the Functional Optimization Problem. USSR Comp. Math. Phys., 1966: 4:28-33.
  • 3Levitin E S, Polyak B T. Convergence of Minimizing Sequences in Conditional Extremum Problems. Soviet Math. Dohl., 1966, 7:764-767.
  • 4Dontchcv A L, Zolezzi T. Well-posed Optimization Problems. Berlin: Springer-Verlag, 1993.
  • 5Lucchetti R, Revalski J (eds). Recent Developments in Well-posed Variational Problems. Dordrecht: Kluwer Academic Publishers, 1995.
  • 6Simon H A. The New Science of Management Decision. New Jeresy: Prentice-Hall Inc., 1977.
  • 7Rubinstein A. Modeling Bounded Rationality. Massachusetts Institute of Technology, 1998.
  • 8Anderlini L, Canning D. Structural Stability Implies Robustness to Bounded Rationality. J. of Economic Theory, 2001, 109:395-422.
  • 9Yu C, Yu J. On Structural Stability and Robustness to Bounded Rationality. Nonlinear AnalysisTMA, 2006, 65:583-592.
  • 10Yu C, Yu J. Bounded Rationality in Multiobjective Games. Nonlinear Analysis TMA, 2007, 67: 930-937.

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