New fixed-points results for 1-set contractive set valued maps
type: Item
instance of: scholarly article
title: New fixed-points results for 1-set contractive set valued maps
zbMATH Open document ID: 0951.47050
DOI: 10.1016/S0898-1221(97)00287-3
publication date: 1998-08-20T00:00:00Z
review text: The author obtains some fixed point theorems for set-valued maps extending some results of \textit{S. Reich} [Math. Z. 125, 17-31 (1972; Zbl 0216.17302)], \textit{W. V. Petryshyn} and \textit{P. M. Fitzpatrick} [Trans. Am. Math. Soc. 194, 1-25 (1974; Zbl 0297.47049)] and others. Further, a fixed point theorem for a random continuous hemicompact 1-set contractive map is obtained by using a result of \textit{K.-K. Tan} and \textit{X.-Z. Yuan} [J. Math. Anal. Appl. 185, No. 2, 378-390 (1994; Zbl 0856.47036)].
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H40
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 54C60
zbMATH DE Number: 1192700
zbMATH Keywords: random fixed point
zbMATH Keywords: 1-set contraction
zbMATH Keywords: set-valued maps
zbMATH Keywords: random continuous hemicompact 1-set contractive map
author: Donal O'Regan
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1192700