On nondifferentiable minimax fractional programming under generalized \(\alpha\)-type I invexity

DOI10.1007/s12190-008-0214-5zbMath1175.49007OpenAlexW2015002060MaRDI QIDQ1034974

J. S. Rautela, Shashi Kant Mishra

Publication date: 9 November 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0214-5

zbMATH Keywords

convexitydualitysufficient optimality conditionsgeneralized \(\alpha\)-type I invexitynondifferentiable minimax fractional programming problems

Mathematics Subject Classification ID

Fractional programming (90C32) Existence of solutions for minimax problems (49J35) Duality theory (optimization) (49N15) Convexity of real functions in one variable, generalizations (26A51) Optimality conditions for problems in abstract spaces (49K27)

Related Items (2)

Optimality conditions for nondifferentiable minimax programs and vector optimization problems ⋮ Second order duality in minmax fractional programming with generalized univexity

Cites Work

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• On duality theorems for a nondifferentiable minimax fractional programming
• Necessary conditions and sufficient conditions for static minmax problems
• On minimax fractional optimality conditions with invexity
• Necessary and sufficient conditions for minimax fractional programming
• Efficiency conditions and duality for a class of multiobjective fractional programming problems
• Efficiency conditions and duality models for multiobjective fractional subset programming problems with generalized \(({\mathcal F},\alpha,\rho,\theta)\)-\(V\)-convex functions
• Nondifferentiable minimax fractional programming problems with \((C, \alpha, \rho, d)\)-convexity
• Generalized \(\alpha\)-invexity and nondifferentiable minimax fractional programming
• Optimality conditions and duality for nondifferentiable multiobjective fractional programming with generalized convexity
• Generalized pseudo-convex minmax programming.
• Multiple objective fractional programming involving semilocally type I-preinvex and related functions
• On vector variational-like inequality problems
• Duality for fractional minimax programming problems
• Optimization and nonsmooth analysis
• Generalized fractional programming problems containing locally subdifferentiable andρ-Univex functions

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