Fixed point theorems for non-self maps I
Suppose f:C→X where C is a closed subset of X. Necessary and sufficient conditions are given for f to have a fixed point. All results hold when X is complete metric space. Several results hold in a much more general setting.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1994-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294001018 |
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| _version_ | 1832562217195667456 |
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| author | Troy L. Hicks Linda Marie Saliga |
| author_facet | Troy L. Hicks Linda Marie Saliga |
| author_sort | Troy L. Hicks |
| collection | DOAJ |
| description | Suppose f:C→X where C is a closed subset of X. Necessary and sufficient conditions are given for f to have a fixed point. All results hold when X is complete metric space. Several results hold in a much more general setting. |
| format | Article |
| id | doaj-art-c7a3321272a243e8b614358fe85cfc25 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1994-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c7a3321272a243e8b614358fe85cfc252025-02-03T01:23:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251994-01-0117471371610.1155/S0161171294001018Fixed point theorems for non-self maps ITroy L. Hicks0Linda Marie Saliga1Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla 65401, MO, USADepartment of Mathematics and Statistics, University of Missouri-Rolla, Rolla 65401, MO, USASuppose f:C→X where C is a closed subset of X. Necessary and sufficient conditions are given for f to have a fixed point. All results hold when X is complete metric space. Several results hold in a much more general setting.http://dx.doi.org/10.1155/S0161171294001018commutingcompatibled-complete topological spacesfixed pointsnon-self mapspairs of mappings. |
| spellingShingle | Troy L. Hicks Linda Marie Saliga Fixed point theorems for non-self maps I International Journal of Mathematics and Mathematical Sciences commuting compatible d-complete topological spaces fixed points non-self maps pairs of mappings. |
| title | Fixed point theorems for non-self maps I |
| title_full | Fixed point theorems for non-self maps I |
| title_fullStr | Fixed point theorems for non-self maps I |
| title_full_unstemmed | Fixed point theorems for non-self maps I |
| title_short | Fixed point theorems for non-self maps I |
| title_sort | fixed point theorems for non self maps i |
| topic | commuting compatible d-complete topological spaces fixed points non-self maps pairs of mappings. |
| url | http://dx.doi.org/10.1155/S0161171294001018 |
| work_keys_str_mv | AT troylhicks fixedpointtheoremsfornonselfmapsi AT lindamariesaliga fixedpointtheoremsfornonselfmapsi |