Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain-Complete Posets
We apply the extensions of the Abian-Brown fixed point theorem for set-valued mappings on chain-complete posets to examine the existence of generalized and extended saddle points of bifunctions defined on posets. We also study the generalized and extended equilibrium problems and the solvability of...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/580621 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849304667214839808 |
|---|---|
| author | Jinlu Li Ying Liu Hongya Gao |
| author_facet | Jinlu Li Ying Liu Hongya Gao |
| author_sort | Jinlu Li |
| collection | DOAJ |
| description | We apply the extensions of the Abian-Brown fixed point theorem for set-valued mappings on chain-complete posets to examine the existence of generalized and extended saddle points of bifunctions defined on posets. We also study the generalized and extended equilibrium problems and the solvability of ordered variational inequalities on posets, which are equipped with a partial order relation and have neither an algebraic structure nor a topological structure. |
| format | Article |
| id | doaj-art-41d0deb8e7ae4a6496f39b074a16e1c2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-41d0deb8e7ae4a6496f39b074a16e1c22025-08-20T03:55:40ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/580621580621Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain-Complete PosetsJinlu Li0Ying Liu1Hongya Gao2Department of Mathematics, Shawnee State University, Portsmouth, OH 45662, USACollege of Mathematics and Computer, Hebei University, Baoding, Hebei 071002, ChinaCollege of Mathematics and Computer, Hebei University, Baoding, Hebei 071002, ChinaWe apply the extensions of the Abian-Brown fixed point theorem for set-valued mappings on chain-complete posets to examine the existence of generalized and extended saddle points of bifunctions defined on posets. We also study the generalized and extended equilibrium problems and the solvability of ordered variational inequalities on posets, which are equipped with a partial order relation and have neither an algebraic structure nor a topological structure.http://dx.doi.org/10.1155/2014/580621 |
| spellingShingle | Jinlu Li Ying Liu Hongya Gao Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain-Complete Posets Abstract and Applied Analysis |
| title | Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain-Complete Posets |
| title_full | Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain-Complete Posets |
| title_fullStr | Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain-Complete Posets |
| title_full_unstemmed | Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain-Complete Posets |
| title_short | Applications of Fixed Point Theorems to Generalized Saddle Points of Bifunctions on Chain-Complete Posets |
| title_sort | applications of fixed point theorems to generalized saddle points of bifunctions on chain complete posets |
| url | http://dx.doi.org/10.1155/2014/580621 |
| work_keys_str_mv | AT jinluli applicationsoffixedpointtheoremstogeneralizedsaddlepointsofbifunctionsonchaincompleteposets AT yingliu applicationsoffixedpointtheoremstogeneralizedsaddlepointsofbifunctionsonchaincompleteposets AT hongyagao applicationsoffixedpointtheoremstogeneralizedsaddlepointsofbifunctionsonchaincompleteposets |