The Strong Convergence of Subgradients of Convex Functions Along Directions: Perspectives and Open Problems

Dariusz Zagrodny ()
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Dariusz Zagrodny: Cardinal Stefan Wyszyński University

Journal of Optimization Theory and Applications, 2018, vol. 178, issue 2, No 16, 660-671

Abstract: Abstract In this note, some questions concerning the strong convergence of subgradients of convex functions along a given direction are recalled and posed. It is shown that some open problems in literature are linked to that of the existence of limits of subgradients from subdifferentials along a given segment.

Keywords: Convexity; Subdifferentials; Strong convergence of subgradients; Primary 49J52; Secondary 52A41; 41A65 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1323-4

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