Connectedness of Approximate Solution Sets to Parametric Generalized Vector Equilibrium Problems

JU Xingxing; CHEN Jiawei; ZHANG Junrong; LI Gaoxi

doi:10.21656/1000-0887.380279

Volume 39 Issue 10

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JU Xingxing, CHEN Jiawei, ZHANG Junrong, LI Gaoxi. Connectedness of Approximate Solution Sets to Parametric Generalized Vector Equilibrium Problems[J]. Applied Mathematics and Mechanics, 2018, 39(10): 1206-1212. doi: 10.21656/1000-0887.380279

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Connectedness of Approximate Solution Sets to Parametric Generalized Vector Equilibrium Problems

doi: 10.21656/1000-0887.380279

¹School of Mathematics and Statistics, Southwest University, Chongqing 400715, P.R.China;²College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P.R.China

Funds: The National Natural Science Foundation of China(11401487)

Received Date: 2017-11-01
Rev Recd Date: 2018-01-11
Publish Date: 2018-10-01

Abstract

Abstract

Several approximate solution sets to generalized vector equilibrium problems were studied. The scalarization characterization of ε-approximate solutions to parametric generalized vector equilibrium problems was established by means of the C-subconvexlike property of the involved mappings. Further, the connectedness of the 2 types of approximate solution sets was derived with the scalarization methods. Finally, the relationships among these approximate solution sets were obtained under some typical conditions.
- generalized vector equilibrium problem,
- approximate solution,
- connectedness

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References

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