Semicontinuity of approximate solution mappings for parametric generalized weak vector equilibrium problems


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.


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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


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