Semicontinuity of approximate solution mappings to generalized vector equilibrium problems

Qilin Wang; Shengji Li

doi:10.3934/jimo.2016.12.1303

Article Contents

2016, Volume 12, Issue 4: 1303-1309. Doi: 10.3934/jimo.2016.12.1303

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Semicontinuity of approximate solution mappings to generalized vector equilibrium problems

Qilin Wang^1, and
Shengji Li^2,

1.
College of Sciences, Chongqing Jiaotong University, Chongqing, 400074
2.
College of Mathematics and Statistics, Chongqing University, Chongqing, 401331

Received: June 30, 2014

Revised: September 30, 2015

Published: September 2016

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Abstract

In this paper, the lower semicontinuity of the approximate solution mapping to generalized strong vector equilibrium problems is established by using a new proof method which is different from the ones used in the literature. Simultaneously, we also obtain the upper semicontinuity of the approximate solution mapping without the assumptions about monotonicity and approximate solution mappings. Some examples are given to illustrate our results.

Keywords:

Generalized strong vector equilibrium problems,
lower semicontinuity,
upper semicontinuity,
approximate solution mappings.

Mathematics Subject Classification: 49K40, 90C31, 91B50.

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References

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