Set-valued \(\alpha\)-almost convex mappings
type: Item
instance of: scholarly article
title: Set-valued \(\alpha\)-almost convex mappings
zbMATH Open document ID: 0929.47026
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-06-03T00:00:00Z
review text: \textit{J. García-Falset}, \textit{E. Llorens-Fuster} and \textit{B. Sims} [Nonlinear Anal. Theory, Methods Appl. 32, No. 5, 601-608 (1998)] defined a class of (single-valued) mappings called \(\alpha\)-almost convex mappings. The author of this paper extends this definition to the case of set-valued mappings. The purpose of this attempt is to prove some new theorems of fixed points for such mappings. It is an interesting work.
reviewed by: Themistocles M. Rassias
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 1295273
zbMATH Keywords: semiconvex mappings
zbMATH Keywords: Hausdorff metric
zbMATH Keywords: semicontinuous
zbMATH Keywords: \(\alpha\)-almost convex mappings
zbMATH Keywords: set-valued mappings
zbMATH Keywords: fixed points
author: Enrique Llorens-Fuster
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6330
OpenAlex ID: W2030984984
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DOI: 10.1006/JMAA.1999.6330
description: scientific article; zbMATH DE number 1295273