Duality for multiobjective fractional programming involving generalized \(\eta\)-bonvex functions
type: Item
instance of: scholarly article
title: Duality for multiobjective fractional programming involving generalized \(\eta\)-bonvex functions
zbMATH Open document ID: 0737.90067
author: Shashi Pandey
published in: Opsearch
publication date: 1992-06-25T00:00:00Z
review text: Considered is the following multiobjective fractional programming problem: \[ \hbox{Minimize}_{x\in X}\left({f_ 1(x)\over g_ 1(x)}, {f_ 2(x)\over g_ 2(x)}, \dots, {f_ t(x)\over g_ t(x)}\right),\leqno(P) \] subject to \(h(x)\geq 0\), \(l(x)=0\) where \(X\subseteq R^ n\), \(f_ i: X\to R\), \(g_ i: X\to R\) for \(i=1,2,\dots,t\), \(h:X\to R^ m\) and \(l:X\to R^ k\) are twice differentiable functions with \(f_ i(.)\geq 0\) and \(g_ i(.)>0\) for \(i=1,2,\dots,t\), and minimization entails obtaining efficient solutions. The author gives higher order duality results for problem \((P)\) in which the functions involved satisfy generalized \(\eta\)-bonvexity assumptions.
Mathematics Subject Classification ID: 90C32
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 26B25
zbMATH DE Number: 14573
zbMATH Keywords: multiobjective fractional programming problem
zbMATH Keywords: higher order duality results
zbMATH Keywords: generalized \(\eta\)-bonvexity
reviewed by: I. M. Stancu-Minasian
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 14573