Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems
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Authors
Jing Zeng
- College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China.
Zai-Yun Peng
- College of Mathematics and Statistics, School of Science, Chongqing Jiaotong University, Chongqing 400074, China.
Xiang-Kai Sun
- College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China.
Xian-Jun Long
- College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China.
Abstract
In this paper, we establish an existence result for the (GSVQEP) without assuming that the dual of the
ordering cone has a weak star compact base and give an example to show our existence theorem is different
from the main result of Long et al. [X. J. Long, N. J. Huang, K. L. Teo, Math. Comput. Modelling, 47
(2008), 445-451]. Furthermore, we introduce a concept of Hadamard-type well-posedness for the (GSVQEP)
and establish sufficient conditions of Hadamard-type well-posedness for the (GSVQEP).
Share and Cite
ISRP Style
Jing Zeng, Zai-Yun Peng, Xiang-Kai Sun, Xian-Jun Long, Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4104--4113
AMA Style
Zeng Jing, Peng Zai-Yun, Sun Xiang-Kai, Long Xian-Jun, Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems. J. Nonlinear Sci. Appl. (2016); 9(6):4104--4113
Chicago/Turabian Style
Zeng, Jing, Peng, Zai-Yun, Sun, Xiang-Kai, Long, Xian-Jun. "Existence of solutions and Hadamard well-posedness for generalized strong vector quasi-equilibrium problems." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4104--4113
Keywords
- Existence theorem
- Hadamard well-posedness
- fixed-point theorem
- lower semicontinuity
- naturally quasi-convexity.
- Existence theorem
- Hadamard well-posedness
- fixed-point theorem
- lower semicontinuity
- naturally quasi-convexity.
MSC
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