The Fixed Point Property of Mean Non-expansive Mapping
In this paper，it mainly discussed the fixed point properties of the mean non-expansive mapping． First of all，it proved the weakly compact convex subset with Opial properties for mean non-expansive mapping that has weak fixed point property． Secondly，it discussed the weakly compact convex subset of r...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | zho |
| Published: |
Harbin University of Science and Technology Publications
2018-08-01
|
| Series: | Journal of Harbin University of Science and Technology |
| Subjects: | |
| Online Access: | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1569 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849229042205589504 |
|---|---|
| author | CUI Yun-an WANG Jing-chen |
| author_facet | CUI Yun-an WANG Jing-chen |
| author_sort | CUI Yun-an |
| collection | DOAJ |
| description | In this paper，it mainly discussed the fixed point properties of the mean non-expansive mapping． First of all，it proved the weakly compact convex subset with Opial properties for mean non-expansive mapping that has weak fixed point property． Secondly，it discussed the weakly compact convex subset of reflexive Banach space X which has asymptotic normal structure that has a fixed point for mean non-expansive mapping Finally，it proved that when the Garcia-Falset constant satisfied specific inequality，the mean non-expansive mapping T has a fixed point. |
| format | Article |
| id | doaj-art-bb371c7279874e15bd7e41b736e28faa |
| institution | Kabale University |
| issn | 1007-2683 |
| language | zho |
| publishDate | 2018-08-01 |
| publisher | Harbin University of Science and Technology Publications |
| record_format | Article |
| series | Journal of Harbin University of Science and Technology |
| spelling | doaj-art-bb371c7279874e15bd7e41b736e28faa2025-08-22T09:30:01ZzhoHarbin University of Science and Technology PublicationsJournal of Harbin University of Science and Technology1007-26832018-08-01230412212610.15938/j.jhust.2018.04.023The Fixed Point Property of Mean Non-expansive MappingCUI Yun-an0WANG Jing-chen1Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaDepartment of Mathematics, Harbin University of Science and Technology, Harbin 150080, ChinaIn this paper，it mainly discussed the fixed point properties of the mean non-expansive mapping． First of all，it proved the weakly compact convex subset with Opial properties for mean non-expansive mapping that has weak fixed point property． Secondly，it discussed the weakly compact convex subset of reflexive Banach space X which has asymptotic normal structure that has a fixed point for mean non-expansive mapping Finally，it proved that when the Garcia-Falset constant satisfied specific inequality，the mean non-expansive mapping T has a fixed point.https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1569mean non-expansive mappingfixed pointasymptotic norml structuregarcia-falset constant |
| spellingShingle | CUI Yun-an WANG Jing-chen The Fixed Point Property of Mean Non-expansive Mapping Journal of Harbin University of Science and Technology mean non-expansive mapping fixed point asymptotic norml structure garcia-falset constant |
| title | The Fixed Point Property of Mean Non-expansive Mapping |
| title_full | The Fixed Point Property of Mean Non-expansive Mapping |
| title_fullStr | The Fixed Point Property of Mean Non-expansive Mapping |
| title_full_unstemmed | The Fixed Point Property of Mean Non-expansive Mapping |
| title_short | The Fixed Point Property of Mean Non-expansive Mapping |
| title_sort | fixed point property of mean non expansive mapping |
| topic | mean non-expansive mapping fixed point asymptotic norml structure garcia-falset constant |
| url | https://hlgxb.hrbust.edu.cn/#/digest?ArticleID=1569 |
| work_keys_str_mv | AT cuiyunan thefixedpointpropertyofmeannonexpansivemapping AT wangjingchen thefixedpointpropertyofmeannonexpansivemapping AT cuiyunan fixedpointpropertyofmeannonexpansivemapping AT wangjingchen fixedpointpropertyofmeannonexpansivemapping |