\(L\)-invex-infine functions and applications

DOI10.1016/j.na.2012.04.020zbMath1243.49031OpenAlexW1988165588MaRDI QIDQ435079

Thai Doan Chuong

Publication date: 16 July 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.04.020

zbMATH Keywords

multiobjective optimizationMordukhovich subdifferentialGeoffrion proper efficiencyGordan type alternative theoremL-invex-infine function

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Multi-objective and goal programming (90C29) Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52)

Related Items (7)

Nonlinear programming via König's maximum theorem ⋮ Nondifferentiable minimax programming problems with applications ⋮ A theorem of the alternative with an arbitrary number of inequalities and quadratic programming ⋮ Sufficiency and duality for nonsmooth interval-valued optimization problems via generalized invex-infine functions ⋮ Subdifferentials and derivatives with respect to a set and applications to optimization ⋮ Optimality conditions and duality in nonsmooth multiobjective optimization problems ⋮ A class of nonsmooth fractional multiobjective optimization problems

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• Proper efficiency and the theory of vector maximization
• Multiobjective Problems with Nonsmooth Equality Constraints
• Nondifferentiable optimization by smooth approximations
• Invex nonsmooth alternative theorem and applications^*
• Efficiency and generalised convexity in vector optimisation problems
• Set-valued analysis

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