New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces
Let be a nonempty subset of a Hausdorff topological vector space , and let be a real-valued continuous function on . If for each , there exists such that , then is called -simultaneously proximal and is called -best simultaneous approximation for in . In this paper, we study the problem of -si...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/978738 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841524400283713536 |
|---|---|
| author | Mahmoud Rawashdeh Sarah Khalil |
| author_facet | Mahmoud Rawashdeh Sarah Khalil |
| author_sort | Mahmoud Rawashdeh |
| collection | DOAJ |
| description | Let be a nonempty subset of a Hausdorff topological vector space , and let be a real-valued continuous function on . If for each , there exists such that , then is called -simultaneously proximal and is called -best simultaneous approximation for in . In this paper, we study the problem of -simultaneous approximation for a vector subspace in . Some other results regarding -simultaneous approximation in quotient space are presented. |
| format | Article |
| id | doaj-art-8dfd39d3a42e4f0890346235d9496b4d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8dfd39d3a42e4f0890346235d9496b4d2025-02-03T05:53:23ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/978738978738New Generalization of -Best Simultaneous Approximation in Topological Vector SpacesMahmoud Rawashdeh0Sarah Khalil1Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanDepartment of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, JordanLet be a nonempty subset of a Hausdorff topological vector space , and let be a real-valued continuous function on . If for each , there exists such that , then is called -simultaneously proximal and is called -best simultaneous approximation for in . In this paper, we study the problem of -simultaneous approximation for a vector subspace in . Some other results regarding -simultaneous approximation in quotient space are presented.http://dx.doi.org/10.1155/2013/978738 |
| spellingShingle | Mahmoud Rawashdeh Sarah Khalil New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces Abstract and Applied Analysis |
| title | New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces |
| title_full | New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces |
| title_fullStr | New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces |
| title_full_unstemmed | New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces |
| title_short | New Generalization of -Best Simultaneous Approximation in Topological Vector Spaces |
| title_sort | new generalization of best simultaneous approximation in topological vector spaces |
| url | http://dx.doi.org/10.1155/2013/978738 |
| work_keys_str_mv | AT mahmoudrawashdeh newgeneralizationofbestsimultaneousapproximationintopologicalvectorspaces AT sarahkhalil newgeneralizationofbestsimultaneousapproximationintopologicalvectorspaces |