Convexification of nonconvex functions and application to minimum and maximum principles for nonconvex sets

DOI10.1016/0898-1221(96)00016-8zbMath0873.46013OpenAlexW1985450790MaRDI QIDQ1912858

Congxin Wu, Lee, E. Stanley, Ming-Hu Ha, Li Xing Cheng

Publication date: 27 October 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00016-8

zbMATH Keywords

maximum principleRadon-Nikodým propertyconvexificationnonconvex functionslower semicontinuous convex envelopeStegall theorem

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (3)

Trend to Equilibrium for Reaction-Diffusion Systems Arising from Complex Balanced Chemical Reaction Networks ⋮ A variational approach to norm attainment of some operators and polynomials ⋮ A linear perturbed Palais-Smale condition for lower semicontinuous functions on Banach spaces

Cites Work

• Optimization of functions on certain subsets of Banach spaces
• Geometric aspects of convex sets with the Radon-Nikodym property
• On the variational principle
• 𝐻_{𝛿}-embedding in Hilbert space and optimization on 𝐺_{𝛿}-sets
• Gateaux Differentiability of Convex Functions on Banach Spaces
• On the Subdifferentiability of Convex Functions
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