Semiparametric sufficient efficiency conditions for multiobjective fractional programming problems containing arbitrary norms

2007 ◽  
Vol 25 (1-2) ◽  
pp. 85-107
Author(s):  
G. J. Zalmai
Keyword(s):  
Fractional Programming ◽  
Multiobjective Fractional Programming ◽  
Arbitrary Norms ◽  
Efficiency Conditions

scholarly journals Multiobjective Fractional Programming Involving Generalized Semilocally V-Type I-Preinvex and Related Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
Hachem Slimani ◽  
Shashi Kant Mishra
Keyword(s):  
Fractional Programming ◽  
Inequality Constraints ◽  
Strong Duality ◽  
Multiple Objective ◽  
Type I ◽  
Multiobjective Fractional Programming ◽  
Duality Results ◽  
Preinvex Functions ◽  
Necessary And Sufficient ◽  
Efficiency Conditions

We study a nonlinear multiple objective fractional programming with inequality constraints where each component of functions occurring in the problem is considered semidifferentiable along its own direction instead of the same direction. New Fritz John type necessary and Karush-Kuhn-Tucker type necessary and sufficient efficiency conditions are obtained for a feasible point to be weakly efficient or efficient. Furthermore, a general Mond-Weir dual is formulated and weak and strong duality results are proved using concepts of generalized semilocally V-type I-preinvex functions. This contribution extends earlier results of Preda (2003), Mishra et al. (2005), Niculescu (2007), and Mishra and Rautela (2009), and generalizes results obtained in the literature on this topic.

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