A method of differential and sensitivity properties for weak vector variational inequalities


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.


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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


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