- Research Article
- Open Access
Existence of Solutions for Nonconvex and Nonsmooth Vector Optimization Problems
Journal of Inequalities and Applications volume 2008, Article number: 678014 (2008)
We consider the weakly efficient solution for a class of nonconvex and nonsmooth vector optimization problems in Banach spaces. We show the equivalence between the nonconvex and nonsmooth vector optimization problem and the vector variational-like inequality involving set-valued mappings. We prove some existence results concerned with the weakly efficient solution for the nonconvex and nonsmooth vector optimization problems by using the equivalence and Fan-KKM theorem under some suitable conditions.
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Liu, ZB., Kim, J.K. & Huang, NJ. Existence of Solutions for Nonconvex and Nonsmooth Vector Optimization Problems. J Inequal Appl 2008, 678014 (2008). https://doi.org/10.1155/2008/678014
- Banach Space
- Existence Result
- Suitable Condition
- Efficient Solution
- Vector Optimization