Modified converse duality for multiobjective higher order Wolfe type dual program with cone constraints

Abstract

In this paper, we obtain a converse duality theorem for higher order Wolfe type multiobjective programming with cone constraints under appropriate assumptions. This fills some gaps in the work of Kim et al. [Kim, D.S., Kang, H.S., Lee, Y.J., Seo, Y.Y., Higher order duality in multiobjective programming with cone constraints, Optimization, 59(1), 29–43, (2010)].

Keywords

• multiobjective programming
• converse duality theorem
• higher order duality
• cones
• efficient solutions