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A note on subdifferentials of pointwise suprema

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Abstract

The paper suggests a new approach to calculation of subdifferentials of suprema of convex functions without any qualification conditions which essentially relies on the Hirriart-Urruty–Phelps formula for subdifferentials of sums of convex l.s.c. functions (also supplied with a simple new proof). The approach in particular provides for a simpler way to (a certain generalization of) the most recent and so far most general formulas of Hantoute–López–Zalinescu and López–Volle.

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Authors and Affiliations

  1. Department of Mathematics, Technion, Haifa, 32000, Israel

    A. D. Ioffe

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  1. A. D. Ioffe
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Correspondence to A. D. Ioffe.

Additional information

This paper is dedicated to Prof. Marco López on the occasion of his 60th birthday.

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Ioffe, A.D. A note on subdifferentials of pointwise suprema. TOP 20, 456–466 (2012). https://doi.org/10.1007/s11750-011-0197-5

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  • DOI: https://doi.org/10.1007/s11750-011-0197-5

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