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 Ewa Bednarczuk (FMIS / DCSDCAM) - Systems Research Institute (IBS PAN)
Ewa Bednarczuk,,
- Department of CAD/CAM Systems Design and Computer-Aided Medicine
, Krzysztof Leśniewski (FMIS / DODE) - [Systems Research Institute (IBS PAN) [Polska Akademia Nauk (PAN)]]
Krzysztof Leśniewski,,
- Department of Ordinary Differential Equations
- Instytucie Badań Systemowych
Journal seriesVietnam Journal of Mathematics, ISSN 2305-221X, e-ISSN 2305-2228, (0 pkt)
Issue year2018
Vol46
No2
Pages381-389
Publication size in sheets0.5
Keywords in PolishPochodna kierunkowa, stożki normalne, odwzorowania silnie parawypukłe, funkcje stożkowo wypukłe, słabo ciągowo zupełne przestrzenie Banacha
Keywords in EnglishDirectional derivative, Normal cones, Strongly paraconvex mappings, Cone convex mappings, Weakly sequentially complete Banach spaces
ASJC Classification2600 General Mathematics
Abstract in PolishW pracy udowodniono istnienie pochodnej kierunkowej dla funkcji silnie parawypukłych przy założeniu, że przestrzeń wartości odwzorowania jest słabo ciągowo zupełna.
DOIDOI:10.1007/s10013-018-0290-2
URL https://link.springer.com/article/10.1007/s10013-018-0290-2
Languageen angielski
Score (nominal)15
Score sourcejournalIndex
ScoreMinisterial score = 15.0, 20-10-2019, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.448
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