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We establish necessary and sufficient optimality conditions for a class of generalized nondifferentiable fractional optimization programming problems. Moreover, we prove the weak and strong duality theorems under (V, ${\rho}$)-invexity assumption.
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참고문헌 (7)
참고문헌 신청
R. P. Agarwal / 2012 / Optimality and duality for nondifferentiable multiobjective programming problems involving generalized d¡½¡(n; µ) Type I invex functions / Journal of Nonlinear and Convex Analysis 13(4):733~744
I. Ahmad / 2011 / On sufficiency and duality for non-smooth multiobjective programming problems involving generalized V ¡r-invex functions / Nonlinear Analysis: Theory, Methods & Applications 74(17):5920~5928
R. P. Agarwal / 2010 / Optimality and duality in nonsmooth multiobjective optimization involving V -type I invex functions / Journal of Inequalities and Applications 21
I. Ahmad / 2007 / Optimality conditions and duality in nonsmooth mul-tiobjective optimization / Journal of Nonlinear and Convex Analysis 8:417~430
F. H. Clarke / 1983 / Optimization and Nonsmooth Analysis, A Wiley-Interscience Publication / John Wiley & Sons
I. Ahmad / 2011 / On sufficiency and duality for non-smooth multiobjective programming problems involving generalized V ¡r-invex functions / Nonlinear Analysis: Theory, Methods & Applications 74(17):5920~5928
R. P. Agarwal / 2010 / Optimality and duality in nonsmooth multiobjective optimization involving V -type I invex functions / Journal of Inequalities and Applications 21
I. Ahmad / 2007 / Optimality conditions and duality in nonsmooth mul-tiobjective optimization / Journal of Nonlinear and Convex Analysis 8:417~430
F. H. Clarke / 1983 / Optimization and Nonsmooth Analysis, A Wiley-Interscience Publication / John Wiley & Sons
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