Optimality Conditions and Duality for a Class of Nonlinear Fractional Programming Problems

2001 ◽  
Vol 110 (3) ◽  
pp. 611-619 ◽  
Author(s):  
Z. A. Liang ◽  
H. X. Huang ◽  
P. M. Pardalos
Keyword(s):  
Optimality Conditions ◽  
Fractional Programming ◽  
Nonlinear Fractional Programming

scholarly journals Optimality Conditions and Duality of Three Kinds of Nonlinear Fractional Programming Problems

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Xiaomin Zhang ◽  
Zezhong Wu
Keyword(s):  
Optimality Conditions ◽  
Convex Functions ◽  
Fractional Programming ◽  
Objective Functions ◽  
Duality Results ◽  
Nonlinear Fractional Programming

Some assumptions for the objective functions and constraint functions are given under the conditions of convex and generalized convex, which are based on theF-convex,ρ-convex, and(F,ρ)-convex. The sufficiency of Kuhn-Tucker optimality conditions and appropriate duality results are proved involving(F,ρ)-convex,(F,α,ρ,d)-convex, and generalized(F,α,ρ,d)-convex functions.

scholarly journals Optimality and duality in continuous-time nonlinear fractional programming

1992 ◽  
Vol 34 (2) ◽  
pp. 229-244 ◽  
Author(s):  
S. Suneja ◽  
C. Singh ◽  
R. N. Kaul
Keyword(s):  
Optimality Conditions ◽  
Programming Problem ◽  
Continuous Time ◽  
Fractional Programming ◽  
Dual Problem ◽  
Fractional Programming Problem ◽  
Duality Results ◽  
Perturbation Functions ◽  
Optimality And Duality ◽  
Nonlinear Fractional Programming

AbstractOptimality conditions via subdifferentiability and generalised Charnes-Cooper transformation are obtained for a continuous-time nonlinear fractional programming problem. Perturbation functions play a key role in the development. A dual problem is presented and certain duality results are obtained.

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