On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space
type: Item
instance of: scholarly article
title: On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space
zbMATH Open document ID: 1116.46034
author: Ming-Sheng Liu
author: Yucan Zhu
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-12-07T00:00:00Z
review text: The authors introduce a new class of biholomorphic mappings named \(\varepsilon\) quasi-convex mappings in the unit ball of a complex Banach space. They generalize the definition of an \(\varepsilon\)-starlike mapping from \(\varepsilon\in [0,1]\) to \(\varepsilon\in [-1,1]\). Some properties of \(\varepsilon\) quasi-convex mappings are obtained. Some concrete examples of \(\varepsilon\) quasi-convex mappings or \(\varepsilon\)-starlike mappings for \(\varepsilon\in [-1,1]\) in Banach spaces are also given.
reviewed by: Tej Singh Nahar
Mathematics Subject Classification ID: 46G20
zbMATH DE Number: 5077889
zbMATH Keywords: biholomorphic convex mapping
zbMATH Keywords: biholomorphic starlike mapping
zbMATH Keywords: quasi-convex mapping
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.11.017
OpenAlex ID: W1964588685
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DOI: 10.1016/J.JMAA.2005.11.017
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description: scientific article; zbMATH DE number 5077889