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

Journal of inequalities and applications

article

Ramu Dubey¹  Arvind Kumar²  Rifaqat Ali³  Lakshmi Narayan Mishra⁴ 

[1] Department of Mathematics, J.C. Bose University of Science and Technology;Department of Mathematics, Dyal Singh College;Department of Mathematics, College of Science and Arts, King Khalid University;Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (VIT) University

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

DOI  :  10.1186/s13660-019-2279-0

学科分类：电力

来源: SpringerOpen

【 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.

【 授权许可】

CC BY