On generalized pseudoconvex functions
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Publication:1262221
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
constrained optimizationpseudoconvexitynonsmooth nonconvex functionssufficiency of Kuhn-Tucker optimality conditions
Nonlinear programming (90C30) Nonsmooth analysis (49J52) Convexity of real functions of several variables, generalizations (26B25) Optimality conditions (49K99)
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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
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