Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations
We will discuss discrete dynamics generated by single-valued and multivalued operators in spaces endowed with a generalized metric structure. More precisely, the behavior of the sequence (fn(x))n∈N of successive approximations in complete generalized gauge spaces is discussed. In the same setting, t...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/143510 |
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| _version_ | 1832567025438818304 |
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| author | Adrian Petruşel Gabriela Petruşel |
| author_facet | Adrian Petruşel Gabriela Petruşel |
| author_sort | Adrian Petruşel |
| collection | DOAJ |
| description | We will discuss discrete dynamics generated by single-valued and multivalued operators in spaces endowed with a generalized metric structure. More precisely, the behavior of the sequence (fn(x))n∈N of successive approximations in complete generalized gauge spaces is discussed. In the same setting, the case of multivalued operators is also considered. The coupled fixed points for mappings t1:X1×X2→X1 and t2:X1×X2→X2 are discussed and an application to a system of nonlinear integral equations is given. |
| format | Article |
| id | doaj-art-34c4ff3fa7024b8d8ae4717b26b5933d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-34c4ff3fa7024b8d8ae4717b26b5933d2025-02-03T01:02:27ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/143510143510Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral EquationsAdrian Petruşel0Gabriela Petruşel1Faculty of Mathematics and Computer Science and Faculty of Business, Babeş-Bolyai University Cluj-Napoca, Kogălniceanu Street No. 1, 400084 Cluj-Napoca, RomaniaFaculty of Mathematics and Computer Science and Faculty of Business, Babeş-Bolyai University Cluj-Napoca, Kogălniceanu Street No. 1, 400084 Cluj-Napoca, RomaniaWe will discuss discrete dynamics generated by single-valued and multivalued operators in spaces endowed with a generalized metric structure. More precisely, the behavior of the sequence (fn(x))n∈N of successive approximations in complete generalized gauge spaces is discussed. In the same setting, the case of multivalued operators is also considered. The coupled fixed points for mappings t1:X1×X2→X1 and t2:X1×X2→X2 are discussed and an application to a system of nonlinear integral equations is given.http://dx.doi.org/10.1155/2015/143510 |
| spellingShingle | Adrian Petruşel Gabriela Petruşel Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations Discrete Dynamics in Nature and Society |
| title | Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations |
| title_full | Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations |
| title_fullStr | Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations |
| title_full_unstemmed | Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations |
| title_short | Nonlinear Dynamics, Fixed Points and Coupled Fixed Points in Generalized Gauge Spaces with Applications to a System of Integral Equations |
| title_sort | nonlinear dynamics fixed points and coupled fixed points in generalized gauge spaces with applications to a system of integral equations |
| url | http://dx.doi.org/10.1155/2015/143510 |
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