Higher-Order Duality for Minimax Fractional Type Programming Involving Symmetric Matrices

نویسندگان

  • Caiyun Jin
  • Cao-Zong Cheng
چکیده

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 d b     vector-pseudoquasi-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 d b     vector-pseudoquasi-Type I.

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تاریخ انتشار 2012