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 alte...

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Autor principal: DHAGE,BAPURAO C
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Materias:
Multi-valued mappings
fixed point theorem
nonlinear alternative
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300009
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spelling oai:scielo:S0719-064620100003000092018-10-08Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with ApplicationsDHAGE,BAPURAO C Multi-valued mappings fixed point theorem nonlinear alternative 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.3 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300009en10.4067/S0719-06462010000300009
institution Scielo Chile
collection Scielo Chile
language English
topic Multi-valued mappings
fixed point theorem
nonlinear alternative
spellingShingle Multi-valued mappings
fixed point theorem
nonlinear alternative
DHAGE,BAPURAO C
Some Generalizations of Mulit-Valued Version of Schauder’s Fixed Point Theorem with Applications
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.
author DHAGE,BAPURAO C
author_facet DHAGE,BAPURAO C
author_sort DHAGE,BAPURAO C
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. Departamento de Matemática y Estadística.
publishDate 2010
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300009
work_keys_str_mv AT dhagebapuraoc somegeneralizationsofmulitvaluedversionofschauderrsquosfixedpointtheoremwithapplications
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