Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices
We introduce the concepts of ordered variational inequalities and ordered complementarity problems with both domain and range in Banach lattices. Then we apply the Fan-KKM theorem and KKM mappings to study the solvability of these problems.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/323126 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556581170970624 |
|---|---|
| author | Jinlu Li Ching-Feng Wen |
| author_facet | Jinlu Li Ching-Feng Wen |
| author_sort | Jinlu Li |
| collection | DOAJ |
| description | We introduce the concepts of ordered variational inequalities and ordered complementarity problems with both domain and range in Banach lattices. Then we apply the Fan-KKM theorem and KKM mappings to study the solvability of these problems. |
| format | Article |
| id | doaj-art-f550a2a2966a4f3b9c528c6b20596156 |
| 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-f550a2a2966a4f3b9c528c6b205961562025-02-03T05:45:00ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/323126323126Ordered Variational Inequalities and Ordered Complementarity Problems in Banach LatticesJinlu Li0Ching-Feng Wen1Department of Mathematics, Shawnee State University, Portsmouth, OH 45662, USACenter for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, TaiwanWe introduce the concepts of ordered variational inequalities and ordered complementarity problems with both domain and range in Banach lattices. Then we apply the Fan-KKM theorem and KKM mappings to study the solvability of these problems.http://dx.doi.org/10.1155/2013/323126 |
| spellingShingle | Jinlu Li Ching-Feng Wen Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices Abstract and Applied Analysis |
| title | Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices |
| title_full | Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices |
| title_fullStr | Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices |
| title_full_unstemmed | Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices |
| title_short | Ordered Variational Inequalities and Ordered Complementarity Problems in Banach Lattices |
| title_sort | ordered variational inequalities and ordered complementarity problems in banach lattices |
| url | http://dx.doi.org/10.1155/2013/323126 |
| work_keys_str_mv | AT jinluli orderedvariationalinequalitiesandorderedcomplementarityproblemsinbanachlattices AT chingfengwen orderedvariationalinequalitiesandorderedcomplementarityproblemsinbanachlattices |