Semicontinuity of solution mappings for a class of parametric generalized vector equilibrium problems
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Authors
Jue Lu
- Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China.
- School of Mathematics, Physics and Information Science, Shaoxing University, Shaoxing, Zhejiang 312000, China.
Yu Han
- Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China.
Nan-Jing Huang
- Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, China.
Abstract
In this paper, we discuss the upper and lower semicontinuity of the strong efficient solution mapping,
the weakly efficient solution mapping and the efficient solution mapping to a class of parametric generalized
vector equilibrium problems by using scalarization methods and a new density result.
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ISRP Style
Jue Lu, Yu Han, Nan-Jing Huang, Semicontinuity of solution mappings for a class of parametric generalized vector equilibrium problems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 9, 5449--5462
AMA Style
Lu Jue, Han Yu, Huang Nan-Jing, Semicontinuity of solution mappings for a class of parametric generalized vector equilibrium problems. J. Nonlinear Sci. Appl. (2016); 9(9):5449--5462
Chicago/Turabian Style
Lu, Jue, Han, Yu, Huang, Nan-Jing. "Semicontinuity of solution mappings for a class of parametric generalized vector equilibrium problems." Journal of Nonlinear Sciences and Applications, 9, no. 9 (2016): 5449--5462
Keywords
- Parametric generalized vector equilibrium problem
- solution mapping
- lower semicontinuity
- upper semicontinuity.
MSC
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