Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions
We consider a problem of stability of fixed point sets for a sequence of multivalued mappings defined on a metric space converging to a limit function where the convergence is with respect to the Pompeiu-Hausdorff distance. The members of the sequence are assumed to be multivalued almost contraction...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/302012 |
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| author | Binayak S. Choudhury Chaitali Bandyopadhyay |
| author_facet | Binayak S. Choudhury Chaitali Bandyopadhyay |
| author_sort | Binayak S. Choudhury |
| collection | DOAJ |
| description | We consider a problem of stability of fixed point sets for a sequence of multivalued mappings defined on a metric space converging to a limit function where the convergence is with respect to the Pompeiu-Hausdorff distance. The members of the sequence are assumed to be multivalued almost contractions. We show that the fixed point sets of this sequence of mappings are stable. |
| format | Article |
| id | doaj-art-2e007e0666fa46bba3795246fff07ca1 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-2e007e0666fa46bba3795246fff07ca12025-02-03T05:46:38ZengWileyJournal of Mathematics2314-46292314-47852015-01-01201510.1155/2015/302012302012Stability of Fixed Point Sets of a Class of Multivalued Nonlinear ContractionsBinayak S. Choudhury0Chaitali Bandyopadhyay1Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, IndiaDepartment of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah 711103, IndiaWe consider a problem of stability of fixed point sets for a sequence of multivalued mappings defined on a metric space converging to a limit function where the convergence is with respect to the Pompeiu-Hausdorff distance. The members of the sequence are assumed to be multivalued almost contractions. We show that the fixed point sets of this sequence of mappings are stable.http://dx.doi.org/10.1155/2015/302012 |
| spellingShingle | Binayak S. Choudhury Chaitali Bandyopadhyay Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions Journal of Mathematics |
| title | Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions |
| title_full | Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions |
| title_fullStr | Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions |
| title_full_unstemmed | Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions |
| title_short | Stability of Fixed Point Sets of a Class of Multivalued Nonlinear Contractions |
| title_sort | stability of fixed point sets of a class of multivalued nonlinear contractions |
| url | http://dx.doi.org/10.1155/2015/302012 |
| work_keys_str_mv | AT binayakschoudhury stabilityoffixedpointsetsofaclassofmultivaluednonlinearcontractions AT chaitalibandyopadhyay stabilityoffixedpointsetsofaclassofmultivaluednonlinearcontractions |