Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems
Joint Authors
Wu, Xin-kun
Zou, Yun-zhi
Chen, Jia-wei
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-08
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
A nondifferentiable multiobjective optimization problem with nonempty set constraints is considered, and the equivalence of weakly efficient solutions, the critical points for the nondifferentiable multiobjective optimization problems, and solutions for vector variational-like inequalities is established under some suitable conditions.
Nonemptiness and compactness of the solutions set for the nondifferentiable multiobjective optimization problems are proved by using the FKKM theorem and a fixed-point theorem.
American Psychological Association (APA)
Wu, Xin-kun& Chen, Jia-wei& Zou, Yun-zhi. 2011. Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-487945
Modern Language Association (MLA)
Wu, Xin-kun…[et al.]. Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems. Journal of Applied Mathematics No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-487945
American Medical Association (AMA)
Wu, Xin-kun& Chen, Jia-wei& Zou, Yun-zhi. Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-487945
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-487945