On generalized pseudoconvex functions

DOI10.1016/0022-247X(89)90339-9zbMath0685.90089OpenAlexW2067963094MaRDI QIDQ1262221

Toshihide Ibaraki, Yoshihiro Tanaka, Masao Fukushima

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(89)90339-9

zbMATH Keywords

constrained optimizationpseudoconvexitynonsmooth nonconvex functionssufficiency of Kuhn-Tucker optimality conditions

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25) Optimality conditions (49K99)

Related Items (16)

On Converse Duality for Nonsmooth Optimization Problem ⋮ On locally Lipschitz vector-valued invex functions ⋮ Generalized pseudoconvex functions and multiobjective programming ⋮ Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function ⋮ On a theorem due to Crouzeix and Ferland ⋮ Nonsmooth Invexity in Multiobjective Programming ⋮ A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions] ⋮ Optimality and duality for multiobjective fractional programming involving nonsmooth pseudoinvex functions ⋮ Subvexormal functions and subvex functions ⋮ Optimality and duality for multiobjective fractional programming involving nonsmooth($si:F$esi:ρ)–convex functions ⋮ Duality for non smooth non linear fractional multiobjective programs via (F,ρ) - convexity ⋮ Optimality and duality for generalized fractional programming involving nonsmooth \((F,\rho)\)-convex functions ⋮ Note on generalized convex functions ⋮ Sufficiency criteria and duality in complex nonlinear programming involving pseudoinvex function ⋮ Arcwise connected functions and applications in multiobjective optimization ⋮ Generalized (F, ρ)-convexity and duality for non smooth multi-objective programs

Cites Work

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• Stability by Liapunov's direct method. With applications
• On sufficiency of the Kuhn-Tucker conditions
• On functions whose stationary points are global minima
• What is invexity?
• A note on functions whose local minima are global

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