Second order Φ,ρ-V-invexity and duality for semi-infinite minimax fractional programming

2014 ◽  
Vol 227 ◽  
pp. 831-856 ◽  
Author(s):  
Tadeusz Antczak ◽  
G.J. Zalmai
Keyword(s):  
Fractional Programming ◽  
Second Order ◽  
Minimax Fractional Programming

scholarly journals On Second-Order Duality for Minimax Fractional Programming Problems with Generalized Convexity

2011 ◽  
Vol 2011 ◽  
pp. 1-15 ◽  
Author(s):  
Izhar Ahmad
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Generalized Convexity ◽  
Second Order ◽  
Fractional Programming Problem ◽  
Second Order Duality ◽  
Minimax Fractional Programming ◽  
Dual Models

We focus our study on a discussion of duality relationships of a minimax fractional programming problem with its two types of second-order dual models under the second-order generalized convexity type assumptions. Results obtained in this paper naturally unify and extend some previously known results on minimax fractional programming in the literature.

scholarly journals Second-Order Parametric Free Dualities for Complex Minimax Fractional Programming

Mathematics ◽  
2020 ◽  
Vol 8 (1) ◽  
pp. 67
Author(s):  
Tone-Yau Huang
Keyword(s):  
Programming Problem ◽  
Fractional Programming ◽  
Second Order ◽  
Duality Theorems ◽  
Complex Spaces ◽  
Minimax Fractional Programming ◽  
Duality Model ◽  
Wolfe Type Dual ◽  
Complex Minimax Fractional Programming ◽  
Dual Models

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.

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