Generalized \((\eta,\rho)\)-invex functions and semiparametric duality models for multiobjective fractional programming problems containing arbitrary norms
type: Item
instance of: scholarly article
title: Generalized \((\eta,\rho)\)-invex functions and semiparametric duality models for multiobjective fractional programming problems containing arbitrary norms
zbMATH Open document ID: 1140.90037
author: G. J. Zalmai
published in: Journal of Global Optimization
publication date: 2007-01-05T00:00:00Z
review text: The author studies multiobjective fractional programming problems containing arbitrary norms in their objective functions and constraints. Several semiparametric duality results under generalized \((\eta,\rho)\)-invexity conditions are presented. It is suggested that the style and techniques, employed here can be utilized for developing similar results for other classes of optimization problems including discrete, continuous min-max programming and semiinfinite programming problems.
reviewed by: R. N. Kaul
Mathematics Subject Classification ID: 90C26
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C32
zbMATH DE Number: 5081907
zbMATH Keywords: Arbitrary norms
zbMATH Keywords: Generalized \((\eta,\rho)\)-invex functions
zbMATH Keywords: Multiobjective fractional programming
zbMATH Keywords: Semiparametric duality models
MaRDI profile type: Publication
full work available at URL: s10898-006-9008-1
OpenAlex ID: W2072795511
cites work: What is invexity?
cites work: Invex functions and constrained local minima
cites work: Various types of nonsmooth invex functions
cites work: On sufficiency of the Kuhn-Tucker conditions
cites work: Further Generalizations of Convexity in Mathematical Programming
cites work: Matrix Analysis
cites work: Q3682265
cites work: On generalized convex functions in optimization theory -- a survey
cites work: The essence of invexity
cites work: Nonlinear multiobjective optimization
cites work: Invexity at a point: generalisations and classification
cites work: Q3325486
cites work: Invexity and generalized convexity
cites work: A survey of recent[1985-1995]advances in generalized convexity with applications to duality theory and optimality conditions
cites work: Theory of multiobjective optimization
cites work: Nonsmooth invexity
cites work: Q5187095
cites work: Generalized convex duality for multiobjective fractional programs
cites work: Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam
cites work: Optimality conditions and duality models for a class of nonsmooth constrained fractional variational problems
cites work: Continuous-time multiobjective fractional programming
cites work: Proper efficiency conditions and duality models for nonsmooth multiobjective fractional programming problems with operator constraints. I: Theory
cites work: Q4367788
cites work: Proper efficiency principles and duality models for a class of continuous-time multiobjective fractional programming problems with operator constraints
cites work: Generalized \((\eta,\rho)\)-invex functions and global semiparametric sufficient efficiency conditions for multiobjective fractional programming problems containing arbitrary norms
DOI: 10.1007/S10898-006-9008-1
description: scientific article; zbMATH DE number 5081907