Journal of the Operations Research Society of China ›› 2021, Vol. 9 ›› Issue (1): 151-161.doi: 10.1007/s40305-018-0228-0

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

Xi-Cai Deng1, Wen-Sheng Jia2, Yan-Long Yang2   

  1. 1 Department of Mathematics and Computer, Guizhou Normal College, Guiyang 550018, China;
    2 Department of Mathematics, Guizhou University, Guiyang 550025, China
  • Received:2018-05-04 Revised:2018-09-27 Online:2021-03-11 Published:2021-03-11
  • Contact: Wen-Sheng Jia, Xi-Cai Deng, Yan-Long Yang E-mail:jws0505@163.com;iamdengxicai@163.com;yylong1980@163.com
  • Supported by:
    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) and Natural Science Foundation of Guizhou Province (Nos. [2017]5788, LH[2017]7723 and [2016]5609).

Abstract: 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.

Key words: Hadamard well-posedness, Tikhonov well-posedness, Structural stability, Bounded rationality

CLC Number: