Generalized \((\eta,\rho)\)-invex functions and global semiparametric sufficient efficiency conditions for multiobjective fractional programming problems containing arbitrary norms
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Publication:857795
DOI10.1007/s10898-006-6586-xzbMath1131.90056OpenAlexW2044062730MaRDI QIDQ857795
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/s10898-006-6586-x
multiobjective fractional programmingarbitrary normsgeneralized \((\eta,\rho)\)-invex functionssufficient efficiency conditions
Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Fractional programming (90C32)
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On fractional vector optimization over cones with support functions, Generalized \((\eta,\rho)\)-invex functions and semiparametric duality models for multiobjective fractional programming problems containing arbitrary norms, Note on generalized invex functions, Higher order duality in multiobjective fractional programming with support functions, Higher order duality in multiobjective fractional programming problem with generalized convexity, Higher-order duality for multiobjective programming problem involving \((\Phi, \rho)\)-invex functions
Cites Work
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- The essence of invexity
- 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
