New class of G -Wolfe-type symmetric duality model and duality relations under \(G_{f}\) -bonvexity over arbitrary cones

[摘要] This paper is devoted to theoretical aspects in nonlinear optimization, in particular, duality relations for some mathematical programming problems. In this paper, we introduce a new generalized class of second-order multiobjective symmetric G-Wolfe-type model over arbitrary cones and establish duality results under $G_{f}$-bonvexity/$G_{f}$-pseudobonvexity assumptions. We construct nontrivial numerical examples which are $G_{f}$-bonvex/$G_{f}$-pseudobonvex but neither η-bonvex/η-pseudobonvex nor η-invex/η-pseudoinvex.

[学科分类] 电力

[关键词] Second-order;Multiobjective;Efficient solution;Wolfe;\(G_{f}\) -Bonvexity/ \(G_{f}\) -pseudobonvexity