Browse > Article

OPTIMALITY AND DUALITY FOR GENERALIZED NONDIFFERENTIABLE FRACTIONAL PROGRAMMING WITH GENERALIZED INVEXITY  

Kim, Moon-Hee (Department of Multimedia Engineering, Tongmyong University)
Kim, Gwi-Soo (Department of Applied Mathematics, Pukyong National University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.5_6, 2010 , pp. 1535-1544 More about this Journal
Abstract
Sufficient optimality conditions for a class of generalized non-differentiable fractional optimization programming problems are established. Moreover, we prove the weak and strong duality theorems under (V, $\rho$)-invexity assumption.
Keywords
Generalized nondifferentiable fractional optimization problem; (V, $\rho$)-invex; optimality condition; duality results;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 H. Kuk, G. M. Lee and T. Tanino, Optimality and Duality for Nonsmooth Multiobjective Fractional Programming with Generalized Invexity, J. Math. Anal. Appl. 262(2001), 365-375.   DOI   ScienceOn
2 Z. Liang, H. Huang and P. M. Pardalos, Optimality Conditions and Duality for a Class of Nonlinear Fractional Programming Problems, J. Optim. Theory Appl. 110(2001), 611-619.   DOI   ScienceOn
3 Z. Liang, H. Huang and P. M. Pardalos, Efficiency Conditions and Duality for a Class of Multiobjective Fractional Programming Problems, J. Global Optim. 27(2003), 444-417.
4 X. J. Long, N. J. Huang and Z. B. Liu, Optimality conditions, duality ad saddle points for nondifferentiale multiobjective fractional programs, Journal of Industry Management and Optimization 4(2008), 287-298.
5 Marko M. Maklela and Pekka Neittaanmaki, Nonsmooth Optimization: Analysis and Algorithms with Applications to Optimal Control, World Scientific Publishing Co. Pte. Ltd.,1992.
6 X. M. Yang, X. Q. Yang and K. L. Teo, Duality and Saddle-point Type Optimality for Generalized Nonlinear Fractional Programming, J. Math. Anal. Appl. 289(2004), 100-109.   DOI   ScienceOn
7 F.H. Clarke, Optimization and Nonsmooth Analysis, A Wiley-Interscience Publication, John Wiley & Sons, 1983.
8 D. S. Kim, S. J. Kim and M. H. Kim, Optimality and Duality for a Class of Non-differentiable Multiobjective Fractional Programming Problems, J. Optim. Theory Appl. 129(2006), 131-146.   DOI   ScienceOn
9 M. H. Kim and D. S. Kim, Non-differentiabel Symmetric Duality for Multiobjective Programming with Cone Constraints, European J. Oper. Res. 188(2008), 652-661.   DOI   ScienceOn
10 M. H. Kim and G. S. Kim, On Optimality and Duality for Generalized Nondifferentiable Fractional Optimization Problems, Communications of the Korean Mathematical Society, 25(2010), 139-147.   DOI   ScienceOn
11 H. Kuk, G. M. Lee and D. S. Kim, Nonsmooth Multiobjective Programs with (V, $\rho$)-Invexity, Indian J. Pure and Appl. Math. 29(1998), 405-412.