On the Strong Convergence of Subgradients of Convex Functions

Dariusz Zagrodny ()
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Dariusz Zagrodny: Cardinal Stefan Wyszyński University

Journal of Optimization Theory and Applications, 2018, vol. 178, issue 2, No 5, 423 pages

Abstract: Abstract In this paper, results on the strong convergence of subgradients of convex functions along a given direction are presented; that is, the relative compactness (with respect to the norm) of the union of subdifferentials of a convex function along a given direction is investigated.

Keywords: Convexity; Subdifferentials; Strong convergence of subgradients; Gâteux derivative; Primary 49J52; Secondary 52A41; 41A65 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1276-7

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