A Maximal Element Theorem in FWC-Spaces and Its Applications
A maximal element theorem is proved in finite weakly convex spaces (FWC-spaces, in short) which have no linear, convex, and topological structure. Using the maximal element theorem, we develop new existence theorems of solutions to variational relation problem, generalized equilibrium problem, equil...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/890696 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548345746292736 |
|---|---|
| author | Haishu Lu Qingwen Hu Yulin Miao |
| author_facet | Haishu Lu Qingwen Hu Yulin Miao |
| author_sort | Haishu Lu |
| collection | DOAJ |
| description | A maximal element theorem is proved in finite weakly convex spaces (FWC-spaces, in short) which have no linear, convex, and topological structure. Using the maximal element theorem, we develop new existence theorems of solutions to variational relation problem, generalized equilibrium problem, equilibrium problem with lower and upper bounds, and minimax problem in FWC-spaces. The results represented in this paper unify and extend some known results in the literature. |
| format | Article |
| id | doaj-art-ae5013ab4c884910837b4ce7838cf7c5 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ae5013ab4c884910837b4ce7838cf7c52025-02-03T06:14:20ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/890696890696A Maximal Element Theorem in FWC-Spaces and Its ApplicationsHaishu Lu0Qingwen Hu1Yulin Miao2School of Business, Jiangsu University of Technology, Changzhou, Jiangsu 213001, ChinaDepartment of Mathematical Sciences, University of Texas at Dallas, Richardson, TX 75080, USASchool of Business, Jiangsu University of Technology, Changzhou, Jiangsu 213001, ChinaA maximal element theorem is proved in finite weakly convex spaces (FWC-spaces, in short) which have no linear, convex, and topological structure. Using the maximal element theorem, we develop new existence theorems of solutions to variational relation problem, generalized equilibrium problem, equilibrium problem with lower and upper bounds, and minimax problem in FWC-spaces. The results represented in this paper unify and extend some known results in the literature.http://dx.doi.org/10.1155/2014/890696 |
| spellingShingle | Haishu Lu Qingwen Hu Yulin Miao A Maximal Element Theorem in FWC-Spaces and Its Applications The Scientific World Journal |
| title | A Maximal Element Theorem in FWC-Spaces and Its Applications |
| title_full | A Maximal Element Theorem in FWC-Spaces and Its Applications |
| title_fullStr | A Maximal Element Theorem in FWC-Spaces and Its Applications |
| title_full_unstemmed | A Maximal Element Theorem in FWC-Spaces and Its Applications |
| title_short | A Maximal Element Theorem in FWC-Spaces and Its Applications |
| title_sort | maximal element theorem in fwc spaces and its applications |
| url | http://dx.doi.org/10.1155/2014/890696 |
| work_keys_str_mv | AT haishulu amaximalelementtheoreminfwcspacesanditsapplications AT qingwenhu amaximalelementtheoreminfwcspacesanditsapplications AT yulinmiao amaximalelementtheoreminfwcspacesanditsapplications AT haishulu maximalelementtheoreminfwcspacesanditsapplications AT qingwenhu maximalelementtheoreminfwcspacesanditsapplications AT yulinmiao maximalelementtheoreminfwcspacesanditsapplications |