Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming

In this paper, we will consider a minimax fractional programming in complex spaces. Since a duality model in a programming problem plays an important role, we will establish the second-order Mond–Weir type and Wolfe type dual models, and derive the weak, strong, and strictly converse duality theorem...

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Bibliographic Details
Published inMathematics (Basel) Vol. 8; no. 1; p. 67
Main Author Huang, Tone-Yau
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2020
Subjects
duality theorems
Food science
Game theory
generalized convexity
Mathematical programming
minimax fractional programming
Minimax technique
Theorems
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Summary:In this paper, we will consider a minimax fractional programming in complex spaces. Since a duality model in a programming problem plays an important role, we will establish the second-order Mond–Weir type and Wolfe type dual models, and derive the weak, strong, and strictly converse duality theorems.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8010067