Titlebook: Convexity and Its Applications; Peter M. Gruber,J?rg M. Wills Book 1983 Springer Basel AG 1983 optimization.research.science and technolog

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Minimal and Closest Points Nonexpansive and Quasi-Nonexpansive Retractions in Real Banach Spaces, have been given in terms of properties of minimal and closest points, or by considering special retractions. Yet, the very strong connections existing among the above notions have not been considered in full. This present analysis shows that some results can be obtained from older ones, and other r

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Convexity in Banach spaces: some recent results, in Banach spaces, this occurred in 1967, when Marc Rieffel wanted to do a thorough classroom presentation of the Radon-Nikod?m theorem for Banach space-valued measures. In formulating a condition on the range of such a measure which would be sufficient for the validity of the Radon-Nikodym theorem,