Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces | Zendy

Sihuan Li | Zendy; Qiang Wang | Zendy; Shu Xu | Zendy; Junxiang Wang | Zendy

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Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces

Author(s) -

Sihuan Li,

Qiang Wang,

Shu Xu,

Junxiang Wang

Publication year - 2013

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 - 10.1155/2013/128178

Subject(s) - mathematics , banach space , variational inequality , vector optimization , constraint (computer aided design) , cone (formal languages) , mathematical analysis , pure mathematics , mathematical optimization , optimization problem , algorithm , geometry , multi swarm optimization

The concept of sharp efficient solution for vector equilibrium problems on Banach spaces is proposed. Moreover, the Fermat rules for local efficient solutions of vector equilibrium problems are extended to the sharp efficient solutions by means of the Clarke generalized differentiation and the normal cone. As applications, some necessary optimality conditions and sufficient optimality conditions for local sharp efficient solutions of a vector optimization problem with an abstract constraint and a vector variational inequality are obtained, respectively

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