The Theory of Reich's Fixed Point Theorem for Multivalued Operators

The Theory of Reich's Fixed Point Theorem for Multivalued Operators

The purpose of this paper is to present a theory of Reich's fixed point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard operators, data dependence of the fixed point set, sequence of multivalued operator...

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Main Authors: Tania Lazăr, Ghiocel Moţ, Gabriela Petruşel, Silviu Szentesi
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/178421
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spelling doaj-c9e7dba637aa4e87963eeab41f0a23c82020-11-25T00:20:34ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-01201010.1155/2010/178421The Theory of Reich's Fixed Point Theorem for Multivalued OperatorsTania LazărGhiocel MoţGabriela PetruşelSilviu SzentesiThe purpose of this paper is to present a theory of Reich's fixed point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard operators, data dependence of the fixed point set, sequence of multivalued operators and fixed points, Ulam-Hyers stability of a multivalued fixed point equation, well-posedness of the fixed point problem, and the generated fractal operator. http://dx.doi.org/10.1155/2010/178421
collection DOAJ
language English
format Article
sources DOAJ
author Tania Lazăr
Ghiocel Moţ
Gabriela Petruşel
Silviu Szentesi
spellingShingle Tania Lazăr
Ghiocel Moţ
Gabriela Petruşel
Silviu Szentesi
The Theory of Reich's Fixed Point Theorem for Multivalued Operators
Fixed Point Theory and Applications
author_facet Tania Lazăr
Ghiocel Moţ
Gabriela Petruşel
Silviu Szentesi
author_sort Tania Lazăr
title The Theory of Reich's Fixed Point Theorem for Multivalued Operators
title_short The Theory of Reich's Fixed Point Theorem for Multivalued Operators
title_full The Theory of Reich's Fixed Point Theorem for Multivalued Operators
title_fullStr The Theory of Reich's Fixed Point Theorem for Multivalued Operators
title_full_unstemmed The Theory of Reich's Fixed Point Theorem for Multivalued Operators
title_sort theory of reich's fixed point theorem for multivalued operators
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description The purpose of this paper is to present a theory of Reich's fixed point theorem for multivalued operators in terms of fixed points, strict fixed points, multivalued weakly Picard operators, multivalued Picard operators, data dependence of the fixed point set, sequence of multivalued operators and fixed points, Ulam-Hyers stability of a multivalued fixed point equation, well-posedness of the fixed point problem, and the generated fractal operator.
url http://dx.doi.org/10.1155/2010/178421
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