Generalized convex duality for multiobjective fractional programs

DOI10.1016/0022-247X(91)90151-OzbMath0751.90075MaRDI QIDQ5905519

R. N. Mukherjee

Publication date: 26 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

duality theoremsmulti-objective fractional programs

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Fractional programming (90C32)

Related Items (10)

A fifth bibliography of fractional programming^* ⋮ Generalized pseudoconvex functions and multiobjective programming ⋮ Optimality conditions and duality for nondifferentiable multiobjective fractional programming problems with \((C,\alpha ,\rho ,d)\)-convexity ⋮ A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions] ⋮ Solution of some convex separable resource allocation and production planning problems with bounds on the variables ⋮ Optimality and duality for a multi-objective programming problem involving generalized \(d\)-type-I and related \(n\)-set functions ⋮ Optimality and duality for multiobjective fractional programming involving \(n\)-set functions ⋮ Optimality and duality results for \(E\)-differentiable multiobjective fractional programming problems under \(E\)-convexity ⋮ Multiobjective fractional programming with generalized convexity ⋮ Duality for multiobjective fractional programming involvingn-set functions sup^*

Cites Work

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• Multiple-criteria decision making. Concepts, techniques, and extensions. With the assistance of Yoon-Ro Lee and Antonie Stam
• Strong convexity of sets and functions
• Efficiency and generalized convex duality for multiobjective programs
• Proper efficiency and the theory of vector maximization
• Strong and Weak Convexity of Sets and Functions

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