Duality for second-order symmetric multiobjective programming with cone constraints
type: Item
instance of: scholarly article
title: Duality for second-order symmetric multiobjective programming with cone constraints
zbMATH Open document ID: 1390.90566
DOI: 10.1504/IJMOR.2012.046374
author: D. Dangar
author: S. K. Gupta
published in: International Journal of Mathematics in Operational Research
publication date: 2018-05-29T00:00:00Z
review text: Summary: In this paper, a new pair of Mond-Weir type multiobjective second-order symmetric dual models with cone constraints is formulated in which the objective function is optimised with respect to an arbitrary closed convex cone. Usual duality relations are further established under \(K-\eta\)-bonvexity/second-order symmetric dual \(K-H\)-convexity assumptions. A nontrivial example has also been illustrated to justify the weak duality theorems. Several results including many recent works are obtained as special cases.
Mathematics Subject Classification ID: 90C46
Mathematics Subject Classification ID: 90C29
zbMATH DE Number: 6875982
zbMATH Keywords: symmetric duality
zbMATH Keywords: \(K-\eta\)-bonvexity
zbMATH Keywords: second-order \(K-H\)-convexity
zbMATH Keywords: multiobjective programming
zbMATH Keywords: cone
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6875982