On fixed points of set-valued directional contractions
Using equivalent formulations of Ekeland's theorem, we improve fixed point theorems of Clarke, Sehgal, Sehgal-Smithson, and Kirk-Ray on directional contractions by giving geometric estimations of fixed points.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000722 |
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| _version_ | 1832552357088460800 |
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| author | Sehie Park |
| author_facet | Sehie Park |
| author_sort | Sehie Park |
| collection | DOAJ |
| description | Using equivalent formulations of Ekeland's theorem, we improve fixed point theorems of Clarke, Sehgal, Sehgal-Smithson, and Kirk-Ray on directional contractions by giving geometric estimations of fixed points. |
| format | Article |
| id | doaj-art-56ad1e42523d471a91f87cd5d3768ced |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-56ad1e42523d471a91f87cd5d3768ced2025-02-03T05:58:49ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018466366710.1155/S0161171285000722On fixed points of set-valued directional contractionsSehie Park0Department of Mathematics, Seoul National University, Seoul 151, South KoreaUsing equivalent formulations of Ekeland's theorem, we improve fixed point theorems of Clarke, Sehgal, Sehgal-Smithson, and Kirk-Ray on directional contractions by giving geometric estimations of fixed points.http://dx.doi.org/10.1155/S0161171285000722l. s. c. function(weak) directional contractionfixed pointstationary pointHausdorff psuedometric. |
| spellingShingle | Sehie Park On fixed points of set-valued directional contractions International Journal of Mathematics and Mathematical Sciences l. s. c. function (weak) directional contraction fixed point stationary point Hausdorff psuedometric. |
| title | On fixed points of set-valued directional contractions |
| title_full | On fixed points of set-valued directional contractions |
| title_fullStr | On fixed points of set-valued directional contractions |
| title_full_unstemmed | On fixed points of set-valued directional contractions |
| title_short | On fixed points of set-valued directional contractions |
| title_sort | on fixed points of set valued directional contractions |
| topic | l. s. c. function (weak) directional contraction fixed point stationary point Hausdorff psuedometric. |
| url | http://dx.doi.org/10.1155/S0161171285000722 |
| work_keys_str_mv | AT sehiepark onfixedpointsofsetvalueddirectionalcontractions |