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The Stability of Set of Solutions for Symmetric Vector Quasi-Equilibrium Problems

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Abstract

In this paper, the stability of the set of solutions for symmetric vector quasi-equilibrium problems is discussed. Then, we prove a generic stability theorem and give an existence theorem for essentially connected components of the set of solutions for symmetric vector quasi-equilibrium problems. Finally, we apply these results to vector weak saddle point problems with constraints.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, 330047, China

    J. C. Chen & X. H. Gong

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  1. J. C. Chen
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  2. X. H. Gong
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Correspondence to X. H. Gong.

Additional information

Communicated by X.Q. Yang.

This research was partially supported by the Natural Science Foundation of China (Grant number: 10561007) and Natural Science Foundation of Jiangxi Province, China.

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Chen, J.C., Gong, X.H. The Stability of Set of Solutions for Symmetric Vector Quasi-Equilibrium Problems. J Optim Theory Appl 136, 359–374 (2008). https://doi.org/10.1007/s10957-007-9309-7

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