Mond-Weir type nondifferentiable multiobjective second-order symmetric duality with cone constraints
type: Item
instance of: scholarly article
title: Mond-Weir type nondifferentiable multiobjective second-order symmetric duality with cone constraints
zbMATH Open document ID: 1217.90144
DOI: 10.1504/IJMOR.2011.040876
author: N. Kailey
author: S. K. Gupta
author: Mahesh K. Sharma
published in: International Journal of Mathematics in Operational Research
publication date: 2011-07-28T00:00:00Z
review text: Summary: In this paper, a pair of Mond-Weir type nondifferentiable multiobjective second-order symmetric dual programs over arbitrary cones is first formulated, where each of the objective function contains a square root term with positive semidefinite matrix in \(R^{n\times n}\). Weak, strong and converse duality results are proved for aforesaid model under second-order \(K\)-\(F\)-convexity\,/\,\(K\)-\(\eta\)-bonvexity assumptions. Several known results are obtained as special cases.
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C46
zbMATH DE Number: 5933714
zbMATH Keywords: second-order symmetric duality
zbMATH Keywords: second-order \(K\)-\(F\)-convexity
zbMATH Keywords: cones
zbMATH Keywords: multiobjective programming
zbMATH Keywords: efficient solutions
zbMATH Keywords: cone constraints
zbMATH Keywords: Mond-Weir
MaRDI profile type: Publication
full work available at URL: ijmor.2011.040876
OpenAlex ID: W2132642629
description: scientific article; zbMATH DE number 5933714