Functional compression-expansion fixed point theorem
This paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an application, the existence of a positive solution to a second order conjugate boundary value problem is considered. We conclude with an extension to multivalued maps.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2008-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/22/abstr.html |
| _version_ | 1818528446894047232 |
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| author | Donal O'regan Johnny Henderson Richard Avery |
| author_facet | Donal O'regan Johnny Henderson Richard Avery |
| author_sort | Donal O'regan |
| collection | DOAJ |
| description | This paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an application, the existence of a positive solution to a second order conjugate boundary value problem is considered. We conclude with an extension to multivalued maps. |
| first_indexed | 2024-12-11T06:49:53Z |
| format | Article |
| id | doaj.art-81984666461340848e20ece9add21d3f |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T06:49:53Z |
| publishDate | 2008-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-81984666461340848e20ece9add21d3f2022-12-22T01:16:57ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-02-01200822112Functional compression-expansion fixed point theoremDonal O'reganJohnny HendersonRichard AveryThis paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an application, the existence of a positive solution to a second order conjugate boundary value problem is considered. We conclude with an extension to multivalued maps.http://ejde.math.txstate.edu/Volumes/2008/22/abstr.htmlFixed-point theoremsconepositive solutionsmultivalued maps |
| spellingShingle | Donal O'regan Johnny Henderson Richard Avery Functional compression-expansion fixed point theorem Electronic Journal of Differential Equations Fixed-point theorems cone positive solutions multivalued maps |
| title | Functional compression-expansion fixed point theorem |
| title_full | Functional compression-expansion fixed point theorem |
| title_fullStr | Functional compression-expansion fixed point theorem |
| title_full_unstemmed | Functional compression-expansion fixed point theorem |
| title_short | Functional compression-expansion fixed point theorem |
| title_sort | functional compression expansion fixed point theorem |
| topic | Fixed-point theorems cone positive solutions multivalued maps |
| url | http://ejde.math.txstate.edu/Volumes/2008/22/abstr.html |
| work_keys_str_mv | AT donaloregan functionalcompressionexpansionfixedpointtheorem AT johnnyhenderson functionalcompressionexpansionfixedpointtheorem AT richardavery functionalcompressionexpansionfixedpointtheorem |