Generalized Nonsmooth Invexity

DOI10.1080/02522667.1994.10699163zbMath0852.90113OpenAlexW2323236313MaRDI QIDQ4298528

C. S. Lalitha, R. N. Kaul, Surjeet Kaur Suneja

Publication date: 2 August 1994

Published in: Journal of Information and Optimization Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02522667.1994.10699163

zbMATH Keywords

duality theoremssufficient optimality conditionspseudoinvexityquasiinvexityinequality-type constraintsnonsmooth nonlinear programming

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Nonsmooth analysis (49J52) Duality theory (optimization) (49N15)

Related Items (7)

On optimality conditions and duality results in a class of nonconvex quasidifferentiable optimization problems ⋮ Sufficiency and duality for nonsmooth multiobjective programming problems involving generalized (\(\Phi\), \(\rho\))-\(V\)-type I functions ⋮ Nonsmooth invex functions and sufficient optimality conditions ⋮ A characterization of pseudoinvexity for the efficiency in non-differentiable multiobjective problems. Duality ⋮ (Φ, ρ)-Invexity in Nonsmooth Optimization ⋮ Optimality and duality for nonsmooth multiobjective programming problems with \(V\)-\(r\)-invexity ⋮ LIPSCHITZr-INVEX FUNCTIONS AND NONSMOOTH PROGRAMMING

Cites Work

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• Optimality criteria in nonlinear programming involving nonconvex functions
• The essence of invexity
• Generalized gradients of Lipschitz functionals
• On sufficiency of the Kuhn-Tucker conditions
• A note on the relationships between convexity and invexity
• Nonsmooth invexity
• Nondifferentiable optimization by smooth approximations
• What is invexity?
• Invex functions and constrained local minima

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