Second and higher order duality in Banach space under rho - (eta, theta)-invexity

作者：Padhan S K; Nahak C; Mohapatra R N^*

来源：Nonlinear Analysis: Hybrid Systems , 2011, 5(3): 457-466.

DOI：10.1016/j.nahs.2010.10.004

• Second and higher order duality
• rho - (eta,theta)-invexity
• Weak duality
• Strong duality
• Converse duality

In this paper, we introduce the concept of second and higher order duality in Banach space using rho - (eta,theta)-invexity type conditions. Duality theorems for Mangasarian type, Mond-Weir type are established under weaker conditions. We also give counter examples to justify our work.

• 出版日期2011-8