Generalized \((\eta,\rho)\)-invex functions and semiparametric duality models for multiobjective fractional programming problems containing arbitrary norms

DOI10.1007/s10898-006-9008-1zbMath1140.90037OpenAlexW2072795511MaRDI QIDQ857809

G. J. Zalmai

Publication date: 5 January 2007

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-006-9008-1

zbMATH Keywords

Arbitrary normsGeneralized \((\eta,\rho)\)-invex functionsMultiobjective fractional programmingSemiparametric duality models

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Nonlinear programming (90C30) Fractional programming (90C32) Duality theory (optimization) (49N15)

Related Items

Note on generalized invex functions, Semiparametric sufficient efficiency conditions for multiobjective fractional programming problems containing arbitrary norms, A class of nonsmooth fractional multiobjective optimization problems, First- and second-order optimality conditions for multiobjective fractional programming

Cites Work

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• The essence of invexity
• Generalized \((\eta,\rho)\)-invex functions and global semiparametric sufficient efficiency conditions for multiobjective fractional programming problems containing arbitrary norms
• Theory of multiobjective optimization
• Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam
• On sufficiency of the Kuhn-Tucker conditions
• On generalized convex functions in optimization theory -- a survey
• Nonlinear multiobjective optimization
• Invexity at a point: generalisations and classification
• Invexity and generalized convexity
• Nonsmooth invexity
• Matrix Analysis
• What is invexity?
• Invex functions and constrained local minima
• Further Generalizations of Convexity in Mathematical Programming
• Proper efficiency principles and duality models for a class of continuous-time multiobjective fractional programming problems with operator constraints
• A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions]
• Various types of nonsmooth invex functions
• Optimality conditions and duality models for a class of nonsmooth constrained fractional variational problems
• Continuous-time multiobjective fractional programming
• Generalized convex duality for multiobjective fractional programs