Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications

Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications

In this article, a generalization of a Kakutani-Fan fixed point theorem for multi-valued mappings in Banach spaces is proved under weaker upper semi-continuity condition and it is further applied to derive a generalized version of Krasnoselskii’s fixed point theorem and some nonlinear alternatives o...

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Main Author: BAPURAO C DHAGE
Format: Article
Language:English
Published: Universidad de La Frontera 2010-01-01
Series:Cubo
Subjects:
Multi-valued mappings
fixed point theorem
nonlinear alternative
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300009
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spelling doaj-bf34fb5cab3f4d648ba9cddddc1993b42020-11-25T03:50:52ZengUniversidad de La FronteraCubo0716-77760719-06462010-01-01123139151Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with ApplicationsBAPURAO C DHAGEIn this article, a generalization of a Kakutani-Fan fixed point theorem for multi-valued mappings in Banach spaces is proved under weaker upper semi-continuity condition and it is further applied to derive a generalized version of Krasnoselskii’s fixed point theorem and some nonlinear alternatives of Leray-Schauder type for multi-valued closed mappings in Banach spaces.<br>En este artículo probamos una generalización para el teorema del punto fijo de Kakutani- Fan para aplicaciones multi-valuadas en espacios de Banach, bajo condición de semi-continuidad superior debil. Este resultado es aplicado para obtener una versión generalizada del teorema del punto fijo Krasnoselskii y algunas alternativas de tipo Leray-Schauder para aplicaciones multi-valuadas cerradas en espacios de Banach.http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300009Multi-valued mappingsfixed point theoremnonlinear alternative
collection DOAJ
language English
format Article
sources DOAJ
author BAPURAO C DHAGE
spellingShingle BAPURAO C DHAGE
Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications
Cubo
Multi-valued mappings
fixed point theorem
nonlinear alternative
author_facet BAPURAO C DHAGE
author_sort BAPURAO C DHAGE
title Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications
title_short Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications
title_full Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications
title_fullStr Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications
title_full_unstemmed Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications
title_sort some generalizations of mulit-valued version of schauder’s fixed point theorem with applications
publisher Universidad de La Frontera
series Cubo
issn 0716-7776
0719-0646
publishDate 2010-01-01
description In this article, a generalization of a Kakutani-Fan fixed point theorem for multi-valued mappings in Banach spaces is proved under weaker upper semi-continuity condition and it is further applied to derive a generalized version of Krasnoselskii’s fixed point theorem and some nonlinear alternatives of Leray-Schauder type for multi-valued closed mappings in Banach spaces.<br>En este artículo probamos una generalización para el teorema del punto fijo de Kakutani- Fan para aplicaciones multi-valuadas en espacios de Banach, bajo condición de semi-continuidad superior debil. Este resultado es aplicado para obtener una versión generalizada del teorema del punto fijo Krasnoselskii y algunas alternativas de tipo Leray-Schauder para aplicaciones multi-valuadas cerradas en espacios de Banach.
topic Multi-valued mappings
fixed point theorem
nonlinear alternative
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300009
work_keys_str_mv AT bapuraocdhage somegeneralizationsofmulitvaluedversionofschaudersfixedpointtheoremwithapplications
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