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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Fixed Point Theory and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/178421 |
| _version_ | 1811189765565841408 |
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| author | Tania Lazăr Ghiocel Moţ Gabriela Petruşel Silviu Szentesi |
| author_facet | Tania Lazăr Ghiocel Moţ Gabriela Petruşel Silviu Szentesi |
| author_sort | Tania Lazăr |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-11T14:39:58Z |
| format | Article |
| id | doaj.art-c9e7dba637aa4e87963eeab41f0a23c8 |
| institution | Directory Open Access Journal |
| issn | 1687-1820 1687-1812 |
| language | English |
| last_indexed | 2024-04-11T14:39:58Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Fixed Point Theory and Applications |
| spelling | doaj.art-c9e7dba637aa4e87963eeab41f0a23c82022-12-22T04:18:02ZengSpringerOpenFixed 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 |
| 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 |
| title | 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_short | The Theory of Reich's Fixed Point Theorem for Multivalued Operators |
| title_sort | theory of reich 39 s fixed point theorem for multivalued operators |
| url | http://dx.doi.org/10.1155/2010/178421 |
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