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Continuity of the Solution Set to Parametric Weak Vector Equilibrium Problems

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Abstract

In this paper, we obtain some stability results for parametric weak vector equilibrium problems in topological vector spaces. We provide sufficient conditions for the continuity of the solution set mapping in parametric weak monotone vector equilibrium problems.

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Authors and Affiliations

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

    X. H. Gong

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  1. 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 National Natural Science Foundation of China (Grant 10561007) and the Natural Science Foundation of Jiangxi Province, China.

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Gong, X.H. Continuity of the Solution Set to Parametric Weak Vector Equilibrium Problems. J Optim Theory Appl 139, 35–46 (2008). https://doi.org/10.1007/s10957-008-9429-8

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