TITLE:
Higher-Order Duality for Minimax Fractional Type Programming Involving Symmetric Matrices
AUTHORS:
Caiyun Jin, Cao-Zong Cheng
KEYWORDS:
Higher-Order (F, α, p, d, b, φ )β Vector-Pseudoquasi-Type I, Higher-Order Duality, Minimax Fractional Type Programming, Positive Semidefinite Symmetric Matrix
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.11,
November
30,
2011
ABSTRACT: Convexity and generalized convexity play important roles in optimization theory. With the development of programming problem, there has been a growing interest in the higher-order dual problem and a lot of related generalized convexities are given. In this paper, we give the convexity of (F, α ,p ,d ,b , φ )β vector-pseudo- quasi-Type I and formulate a higher-order duality for minimax fractional type programming involving symmetric matrices, and give the weak, strong and strict converse duality theorems under the condition of higher-order (F, α ,p ,d ,b , φ )β vector-pseudoquasi-Type I.