论文信息 - Wolfe type second-order symmetric duality in nondifferentiable programming

Wolfe type second-order symmetric duality in nondifferentiable programming

Abstract A pair of Wolfe type second-order symmetric dual programs involving nondifferentiable functions is considered and appropriate duality theorems are established under η 1 -bonvexity/ η 2 -boncavity. Several known results including that of Mond and Gulati et al. are obtained as special cases.

S. K. Gupta | T. R. Gulati | Tilak Raj Gulati | Shivajee Gupta

[1] Xinmin Yang,et al. On Second-Order Symmetric Duality in Nondifferentiable Programming , 2001 .

[2] Kok Lay Teo,et al. Second-order duality for nonlinear programming , 2004 .

[3] Mokhtar S. Bazaraa,et al. On Symmetric Duality in Nonlinear Programming , 1973, Oper. Res..

[4] M. A. Hanson,et al. On duality with generalized convexity , 1984 .

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

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

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

[8] Kok Lay Teo,et al. Non-differentiable second order symmetric duality in mathematical programming with F-convexity , 2003, Eur. J. Oper. Res..

[9] W. Ziemba,et al. Generalized concavity in optimization and economics , 1981 .

[10] Izhar Ahmad,et al. Secound Order Symmetric Duality with Generalized Convexity , 2001 .

[11] Murray Schechter,et al. More on subgradient duality , 1979 .