The equivalence of strict convexity and injectivity of the gradient in bounded level sets

DOI10.1007/BF01586939zbMath0738.49012WikidataQ57389713 ScholiaQ57389713MaRDI QIDQ1177236

Hubertus Th. Jongen, Man Kam Kwong, Andreas Griewank

Publication date: 26 June 1992

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

zbMATH Keywords

monotonicityinjectivitysubdifferentialstrict convexitygeneralized gradients

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25)

Related Items (1)

The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients

Cites Work

• Unnamed Item
• Images of connected sets by semicontinuous multifunctions
• The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients
• Optimization and nonsmooth analysis
• The “global” convergence of Broyden-like methods with suitable line search
• On linearization and continuous selections of functions

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