论文信息 - Second-order symmetric duality in multiobjective programming

Second-order symmetric duality in multiobjective programming

Abstract A pair of second-order symmetric dual models for multiobjective nonlinear programming is proposed in this paper. We prove the weak, strong, and converse duality theorems for the formulated second-order symmetric dual programs under invexity conditions.

Shui-Hung Hou | Xinmin Yang | S. Hou | Xinmin Yang

[1] Do Sang Kim,et al. Second-order symmetric and self duality in multiobjective programming☆ , 1997 .

[2] M. A. Hanson. On sufficiency of the Kuhn-Tucker conditions , 1981 .

[3] B. D. Craven,et al. Lagrangean conditions and quasiduality , 1977, Bulletin of the Australian Mathematical Society.

[4] Zulfiqar Ahmad Khan,et al. On Ratio Invexity in Mathematical Programming , 1997 .

[5] Santosh Kumar,et al. Recent Developments in Mathematical Programming , 1991 .

[6] G. Dantzig,et al. Symmetric dual nonlinear programs. , 1965 .

[7] B. Mond,et al. A symmetric dual theorem for non-linear programs , 1965 .

[8] Olvi L. Mangasarian,et al. Second- and higher-order duality in nonlinear programming☆ , 1975 .