Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2012, Special Issue (2012), Article ID 370654, 9 pages.

A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces

Zhi-Ang Zhou and Jian-Wen Peng

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Abstract

We first introduce a new notion of the partial and generalized cone subconvexlike set-valued map and give an equivalent characterization of the partial and generalized cone subconvexlike set-valued map in linear spaces. Secondly, a generalized alternative theorem of the partial and generalized cone subconvexlike set-valued map was presented. Finally, Kuhn-Tucker conditions of set-valued optimization problems were established in the sense of globally proper efficiency.

Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 370654, 9 pages.

Dates
First available in Project Euclid: 3 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357178245

Digital Object Identifier
doi:10.1155/2012/370654

Mathematical Reviews number (MathSciNet)
MR2979450

Zentralblatt MATH identifier
1252.49025

Citation

Zhou, Zhi-Ang; Peng, Jian-Wen. A Generalized Alternative Theorem of Partial and Generalized Cone Subconvexlike Set-Valued Maps and Its Applications in Linear Spaces. J. Appl. Math. 2012, Special Issue (2012), Article ID 370654, 9 pages. doi:10.1155/2012/370654. https://projecteuclid.org/euclid.jam/1357178245


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