Liminf and limsup contractions
We give some theorems related to the contraction mapping principle of Banach-Caccioppoli and Edelstein. The contractive conditions we consider involve the quantities lim infξ→⋅d(ξ,fξ) and lim supξ→⋅d(ξ,fξ) instead of d(⋅,f⋅). Some examples are provided to show the difference between our results and...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201007086 |
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| _version_ | 1832562553144737792 |
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| author | Alberto Branciari |
| author_facet | Alberto Branciari |
| author_sort | Alberto Branciari |
| collection | DOAJ |
| description | We give some theorems related to the contraction mapping
principle of Banach-Caccioppoli and Edelstein. The contractive
conditions we consider involve the quantities lim infξ→⋅d(ξ,fξ) and lim supξ→⋅d(ξ,fξ) instead of d(⋅,f⋅). Some examples are provided to show the difference between our results and the classical ones. |
| format | Article |
| id | doaj-art-ae29455e3b8b470996b5d3173a049ab9 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ae29455e3b8b470996b5d3173a049ab92025-02-03T01:22:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0128739540210.1155/S0161171201007086Liminf and limsup contractionsAlberto Branciari0Viale Martiri della Libertà n. 20, Macerata 62100, ItalyWe give some theorems related to the contraction mapping principle of Banach-Caccioppoli and Edelstein. The contractive conditions we consider involve the quantities lim infξ→⋅d(ξ,fξ) and lim supξ→⋅d(ξ,fξ) instead of d(⋅,f⋅). Some examples are provided to show the difference between our results and the classical ones.http://dx.doi.org/10.1155/S0161171201007086 |
| spellingShingle | Alberto Branciari Liminf and limsup contractions International Journal of Mathematics and Mathematical Sciences |
| title | Liminf and limsup contractions |
| title_full | Liminf and limsup contractions |
| title_fullStr | Liminf and limsup contractions |
| title_full_unstemmed | Liminf and limsup contractions |
| title_short | Liminf and limsup contractions |
| title_sort | liminf and limsup contractions |
| url | http://dx.doi.org/10.1155/S0161171201007086 |
| work_keys_str_mv | AT albertobranciari liminfandlimsupcontractions |