Semicontinuity of approximate solution mappings for parametric generalized weak vector equilibrium problems
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Authors
Qilin Wang
- College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, China.
Xiaobing Li
- College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, 400074, China.
Jing Zeng
- College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China.
Abstract
In this paper, we first introduce a new set-valued mapping by the scalar approximate solution mapping of a parametric
generalized weak vector equilibrium problem and obtain some of its properties. By one of obtained properties, we establish the
lower semicontinuity the approximate solution mapping to a parametric generalized weak vector equilibrium problem without
the assumptions about monotonicity and approximate solution mappings. Simultaneously, under some suitable conditions, we
obtain the upper semicontinuity of the approximate solution mapping to a generalized parametric weak vector equilibrium
problem. Our main results improve and extend the corresponding ones in the literature.
Share and Cite
ISRP Style
Qilin Wang, Xiaobing Li, Jing Zeng, Semicontinuity of approximate solution mappings for parametric generalized weak vector equilibrium problems, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2678--2688
AMA Style
Wang Qilin, Li Xiaobing, Zeng Jing, Semicontinuity of approximate solution mappings for parametric generalized weak vector equilibrium problems. J. Nonlinear Sci. Appl. (2017); 10(5):2678--2688
Chicago/Turabian Style
Wang, Qilin, Li, Xiaobing, Zeng, Jing. "Semicontinuity of approximate solution mappings for parametric generalized weak vector equilibrium problems." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2678--2688
Keywords
- Parametric generalized weak vector equilibrium problems
- lower semicontinuity
- upper semicontinuity
- approximate solution mappings.
MSC
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