Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space
New Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/43635 |
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| _version_ | 1832557079371448320 |
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| author | Ravi P. Agarwal Donal O'Regan |
| author_facet | Ravi P. Agarwal Donal O'Regan |
| author_sort | Ravi P. Agarwal |
| collection | DOAJ |
| description | New Leray-Schauder results are presented for multivalued
contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on
viewing E as the projective limit of a sequence of Banach
spaces. |
| format | Article |
| id | doaj-art-2354f05f9ee147fcbac29d019a9c463c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2354f05f9ee147fcbac29d019a9c463c2025-02-03T05:43:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/4363543635Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet spaceRavi P. Agarwal0Donal O'Regan1Department of Mathematical Science, Florida Institute of Technology, Melbourne 32901, FL, USADepartment of Mathematics, National University of Ireland, Galway, IrelandNew Leray-Schauder results are presented for multivalued contractions defined on subsets of a Fréchet space E. The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.http://dx.doi.org/10.1155/IJMMS/2006/43635 |
| spellingShingle | Ravi P. Agarwal Donal O'Regan Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space International Journal of Mathematics and Mathematical Sciences |
| title | Leray-Schauder results for multivalued nonlinear contractions
defined on closed subsets of a Fréchet space |
| title_full | Leray-Schauder results for multivalued nonlinear contractions
defined on closed subsets of a Fréchet space |
| title_fullStr | Leray-Schauder results for multivalued nonlinear contractions
defined on closed subsets of a Fréchet space |
| title_full_unstemmed | Leray-Schauder results for multivalued nonlinear contractions
defined on closed subsets of a Fréchet space |
| title_short | Leray-Schauder results for multivalued nonlinear contractions
defined on closed subsets of a Fréchet space |
| title_sort | leray schauder results for multivalued nonlinear contractions defined on closed subsets of a frechet space |
| url | http://dx.doi.org/10.1155/IJMMS/2006/43635 |
| work_keys_str_mv | AT ravipagarwal lerayschauderresultsformultivaluednonlinearcontractionsdefinedonclosedsubsetsofafrechetspace AT donaloregan lerayschauderresultsformultivaluednonlinearcontractionsdefinedonclosedsubsetsofafrechetspace |