Necessary optimality conditions with a modified subdifferential

DOI10.1080/02331939108843677zbMath0777.49018OpenAlexW2071242863MaRDI QIDQ3974421

Xiao Qi Yang, Bruce D.Craven

Publication date: 25 June 1992

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939108843677

zbMATH Keywords

Slater conditiongeneralized Kuhn-Tucker conditionslocal Lipschitz functions\(\tau\)-subdifferential\(\tau\)-subgradient

Mathematics Subject Classification ID

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

Related Items (7)

A proximal iterative algorithm for system of generalized nonlinear variational-like inequalities and fixed point problems ⋮ \(E\)-subdifferential of \(E\)-convex functions and its applications to minimization problem ⋮ Generalized set-valued nonlinear variational-like inequalities and fixed point problems: existence and approximation solvability results ⋮ Optimality and duality with generalized semi-univexity. ⋮ Semi-invex functions and their subdifferentials ⋮ System of generalized nonlinear variational-like inequalities and nearly asymptotically nonexpansive mappings: graph convergence and fixed point problems ⋮ A perturbed algorithm for strongly nonlinear variational-like inclusions

Cites Work

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• What is invexity?
• A class of nonconvex functions and mathematical programming
• Nonsmooth multiobjective programming
• Generalized invexity for nonsmooth vector-valued mappings
• Convex Analysis

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