Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems | Zendy

Qinghai He | Zendy; Binbin Zhang | Zendy

Open Access

Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems

Author(s) -

Qinghai He,

Binbin Zhang

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 - 10.1155/2013/678154

Subject(s) - mathematics , path (computing) , combinatorics , positive definiteness , order (exchange) , matrix (chemical analysis) , arithmetic , algorithm , computer science , positive definite matrix , chemistry , chromatography , physics , programming language , eigenvalues and eigenvectors , finance , quantum mechanics , economics

We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions for strongly -quasiconvex functions

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