A method of differential and sensitivity properties for weak vector variational inequalities
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Authors
Xiang-Kai Sun
- College of Automation, Chongqing University, Chongqing 400044, China.
Yi Chai
- College of Automation, Chongqing University, Chongqing 400044, China.
Xiao-Le Guo
- School of Economics, Southwest University of Political Science and Law, Chongqing 401120, China.
Jing Zeng
- College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China.
Abstract
In this paper, by virtue of a contingent derivative and a \(\Phi\)-contingent cone, we investigate differential
properties of a class of set-valued maps in a more general setting utilizing Hadamard directional differentials.
Then, by means of a gap function, sensitivity properties are discussed for a weak vector variational inequality.
We also show that our results extend some existing results in the literature.
Share and Cite
ISRP Style
Xiang-Kai Sun, Yi Chai, Xiao-Le Guo, Jing Zeng, A method of differential and sensitivity properties for weak vector variational inequalities, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 4, 434--441
AMA Style
Sun Xiang-Kai, Chai Yi, Guo Xiao-Le, Zeng Jing, A method of differential and sensitivity properties for weak vector variational inequalities. J. Nonlinear Sci. Appl. (2015); 8(4):434--441
Chicago/Turabian Style
Sun, Xiang-Kai, Chai, Yi, Guo, Xiao-Le, Zeng, Jing. "A method of differential and sensitivity properties for weak vector variational inequalities." Journal of Nonlinear Sciences and Applications, 8, no. 4 (2015): 434--441
Keywords
- Contingent derivative
- Gap function
- Weak vector variational inequality
MSC
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