LIPSCHITZr-INVEX FUNCTIONS AND NONSMOOTH PROGRAMMING

DOI10.1081/NFA-120006693zbMath1103.49303OpenAlexW2013999391MaRDI QIDQ3148350

Tadeusz Antczak

Publication date: 26 November 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/nfa-120006693

zbMATH Keywords

nonsmooth programmingLipschitz functionClarke's generalized gradient, r-invex function

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Optimality conditions and duality in mathematical programming (90C46) Nonsmooth analysis (49J52)

Related Items (11)

\(G\)-semipreinvexity and its applications ⋮ On optimality conditions and duality results in a class of nonconvex quasidifferentiable optimization problems ⋮ On semi-\((B, G)\)-preinvex functions ⋮ On minimax fractional programming problems involving generalized \((H_p,r)\)-invex functions ⋮ Nonsmooth minimax programming problems withV−r-invex functions ⋮ Vector exponential penalty function method for nondifferentiable multiobjective programming problems ⋮ Nonsmooth minimax programming under locally Lipschitz \((\Phi , \rho )\)-invexity ⋮ Unnamed Item ⋮ Optimality and invexity in optimization problems in Banach algebras (spaces) ⋮ (Φ, ρ)-Invexity in Nonsmooth Optimization ⋮ Optimality and duality in nonsmooth semi-infinite optimization, using a weak constraint qualification

Cites Work

• The essence of invexity
• On sufficiency of the Kuhn-Tucker conditions
• A subgradient duality theorem
• Refinements of necessary optimality conditions in nondifferentiable programming. I
• Symmetric dual nonlinear programs
• Nonsmooth invexity
• Optimization and nonsmooth analysis
• What is invexity?
• A duality theorem for non-linear programming
• Invex functions and constrained local minima
• On optimality conditions in nondifferentiable programming
• Generalized Nonsmooth Invexity
• r-convex functions

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