Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces
© 2016 Springer International PublishingIn this paper, we discuss isotonicity characterizations of the metric projection operator, including its necessary and sufficient conditions for isotonicity onto sublattices in Banach spaces. Then, we demonstrate their applications to variational inequalities...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/52192 |
| _version_ | 1848758868532789248 |
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| author | Kong, Dezhou Liu, Lishan Wu, Yong Hong |
| author_facet | Kong, Dezhou Liu, Lishan Wu, Yong Hong |
| author_sort | Kong, Dezhou |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016 Springer International PublishingIn this paper, we discuss isotonicity characterizations of the metric projection operator, including its necessary and sufficient conditions for isotonicity onto sublattices in Banach spaces. Then, we demonstrate their applications to variational inequalities and fixed point theory in Banach spaces. Our work generalizes many existing results obtained in earlier work. |
| first_indexed | 2025-11-14T09:50:50Z |
| format | Journal Article |
| id | curtin-20.500.11937-52192 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:50:50Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-521922017-09-13T15:40:02Z Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces Kong, Dezhou Liu, Lishan Wu, Yong Hong © 2016 Springer International PublishingIn this paper, we discuss isotonicity characterizations of the metric projection operator, including its necessary and sufficient conditions for isotonicity onto sublattices in Banach spaces. Then, we demonstrate their applications to variational inequalities and fixed point theory in Banach spaces. Our work generalizes many existing results obtained in earlier work. 2016 Journal Article http://hdl.handle.net/20.500.11937/52192 10.1007/s11784-016-0337-5 restricted |
| spellingShingle | Kong, Dezhou Liu, Lishan Wu, Yong Hong Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces |
| title | Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces |
| title_full | Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces |
| title_fullStr | Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces |
| title_full_unstemmed | Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces |
| title_short | Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces |
| title_sort | isotonicity of the metric projection with applications to variational inequalities and fixed point theory in banach spaces |
| url | http://hdl.handle.net/20.500.11937/52192 |