Generalisations, examples, and counter-examples in analysis and optimisation. \textit{In honour of Michel Théra at 70}

DOI10.1007/s11228-016-0379-2OpenAlexW2510012871MaRDI QIDQ1679584

Jonathan M. Borwein

Publication date: 9 November 2017

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-016-0379-2

zbMATH Keywords

non-smooth analysisexamples and counter-examplesgeneralisation and unificationgeometric fixed point theory

Mathematics Subject Classification ID

Convex programming (90C25) Nonsmooth analysis (49J52) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

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• A critical view on invexity
• Applications of convex analysis within mathematics
• Convex proximal bundle methods in depth: a unified analysis for inexact oracles
• Convex analysis and nonlinear optimization. Theory and examples
• What is invexity with respect to the same \(\eta\)?
• Techniques of variational analysis
• Multi-valued contraction mappings
• Minimization of functions having Lipschitz continuous first partial derivatives
• Generalized subdifferentials: a Baire categorical approach
• A proof that every Banach space is subreflexive
• Optimization and nonsmooth analysis
• What is invexity?
• A Comparison of Various Definitions of Contractive Mappings
• Variational Analysis
• Another proof of the Browder–Göhde–Kirk theorem via ordering argument
• Some Results on Fixed Points--II
• Convex Analysis
• Convex analysis and monotone operator theory in Hilbert spaces