On a Nonsmooth Vector Optimization Problem with Generalized Cone Invexity | Zendy

Jiao He-hua | Zendy; Sanyang Liu | Zendy

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On a Nonsmooth Vector Optimization Problem with Generalized Cone Invexity

Author(s) -

Jiao He-hua,

Sanyang Liu

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/458983

Subject(s) - mathematics , cone (formal languages) , duality (order theory) , converse , dual cone and polar cone , pure mathematics , optimization problem , mathematical analysis , mathematical optimization , geometry , regular polygon , algorithm

By using Clarke’s generalized gradients we consider a nonsmooth vector optimization problem with cone constraints and introduce some generalized cone-invex functions called K-α-generalized invex, K-α-nonsmooth invex, and other related functions. Several sufficient optimality conditions and Mond-Weir type weak and converse duality results are obtained for this problem under the assumptions of the generalized cone invexity. The results presented in this paper generalize and extend the previously known results in this area

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