Journal of Applied Mathematics

Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems

Xin-kun Wu, Jia-wei Chen, and Yun-zhi Zou

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Abstract

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.

Article information

Source
J. Appl. Math., Volume 2011 (2011), Article ID 647489, 16 pages.

Dates
First available in Project Euclid: 15 March 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1331818628

Digital Object Identifier
doi:10.1155/2011/647489

Mathematical Reviews number (MathSciNet)
MR2830752

Zentralblatt MATH identifier
1229.49004

Citation

Wu, Xin-kun; Chen, Jia-wei; Zou, Yun-zhi. Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems. J. Appl. Math. 2011 (2011), Article ID 647489, 16 pages. doi:10.1155/2011/647489. https://projecteuclid.org/euclid.jam/1331818628


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