Optimality conditions in nondifferentiable programming and their applications to best approximations

DOI10.1007/BF01460130zbMath0518.49017OpenAlexW2087986423MaRDI QIDQ1053978

Nagata Furukawa

Publication date: 1983

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01460130

zbMATH Keywords

necessary and sufficient conditionsdirectional derivativesbest approximationsChebyshev approximationweak differentiability conditions

Mathematics Subject Classification ID

Nonlinear programming (90C30) Normed linear spaces and Banach spaces; Banach lattices (46B99) Best approximation, Chebyshev systems (41A50) Methods involving semicontinuity and convergence; relaxation (49J45) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Optimality conditions for problems in abstract spaces (49K27)

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