On the Existence of Directional Derivatives for Strongly Cone-Paraconvex Mappings
Ewa Bednarczuk , Krzysztof Leśniewski
Abstract
We investigate the existence of directional derivatives for strongly cone- paraconvex mappings. Our result is an extension of the classical Valadier result on the existence of the directional derivative for cone convex mappings with values in weakly sequentially complete Banach spaces.Author | |
Journal series | Vietnam Journal of Mathematics, ISSN 2305-221X, e-ISSN 2305-2228, (0 pkt) |
Issue year | 2018 |
Vol | 46 |
No | 2 |
Pages | 381-389 |
Publication size in sheets | 0.5 |
Keywords in Polish | Pochodna kierunkowa, stożki normalne, odwzorowania silnie parawypukłe, funkcje stożkowo wypukłe, słabo ciągowo zupełne przestrzenie Banacha |
Keywords in English | Directional derivative, Normal cones, Strongly paraconvex mappings, Cone convex mappings, Weakly sequentially complete Banach spaces |
ASJC Classification | |
Abstract in Polish | W pracy udowodniono istnienie pochodnej kierunkowej dla funkcji silnie parawypukłych przy założeniu, że przestrzeń wartości odwzorowania jest słabo ciągowo zupełna. |
DOI | DOI:10.1007/s10013-018-0290-2 |
URL | https://link.springer.com/article/10.1007/s10013-018-0290-2 |
Language | en angielski |
Score (nominal) | 15 |
Score source | journalIndex |
Score | = 15.0, 20-10-2019, ArticleFromJournal |
Publication indicators | : 2016 = 0.448 |
Citation count* |
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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