Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency | Zendy

Qilin Wang | Zendy; Guolin Yu | Zendy

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Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency

Author(s) -

Qilin Wang,

Guolin Yu

Publication year - 2011

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 - 10.1155/2011/432963

Subject(s) - mathematics , set (abstract data type) , order (exchange) , mathematical optimization , optimization problem , computer science , finance , economics , programming language

Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps. By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set-valued optimization problems. The results obtained improve the corresponding results in the literature

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