On η-Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems
We first introduce the notion of η-upper sign property which is an extension of the upper sign property introduced in Castellani and Giuli, 2013, by relaxing convexity on the set. Afterwards, we establish a link between the solution sets of local dual equilibrium problem (Minty local equilibrium pro...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/207502 |
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| author | Ali Farajzadeh Somaye Jafari Chin-Tzong Pang |
| author_facet | Ali Farajzadeh Somaye Jafari Chin-Tzong Pang |
| author_sort | Ali Farajzadeh |
| collection | DOAJ |
| description | We first introduce the notion of η-upper sign property
which is an extension of the upper sign property introduced in Castellani and Giuli, 2013, by relaxing convexity on the set. Afterwards, we establish a link between the solution sets of local dual equilibrium problem (Minty local equilibrium problem) and equilibrium problem for mappings whose domains are not necessarily convex by relaxing the upper sign continuity on the map, as it is assumed in the literature (Bianchi and Pini, 2005; Castellani and Giuli, 2013; Farajzadeh and Zafarani, 2010). Accordingly, it allows us to extend and obtain some existence results for equilibrium-like problems. |
| format | Article |
| id | doaj-art-308cdadf5c884d8098af987b7dd21144 |
| 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-308cdadf5c884d8098af987b7dd211442025-02-03T01:21:37ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/207502207502On η-Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like ProblemsAli Farajzadeh0Somaye Jafari1Chin-Tzong Pang2Department of Mathematics, Razi University, Kermanshah 67149, IranDepartment of Mathematics, Razi University, Kermanshah 67149, IranDepartment of Information Management, Yuan Ze University, Chung-Li 32003, TaiwanWe first introduce the notion of η-upper sign property which is an extension of the upper sign property introduced in Castellani and Giuli, 2013, by relaxing convexity on the set. Afterwards, we establish a link between the solution sets of local dual equilibrium problem (Minty local equilibrium problem) and equilibrium problem for mappings whose domains are not necessarily convex by relaxing the upper sign continuity on the map, as it is assumed in the literature (Bianchi and Pini, 2005; Castellani and Giuli, 2013; Farajzadeh and Zafarani, 2010). Accordingly, it allows us to extend and obtain some existence results for equilibrium-like problems.http://dx.doi.org/10.1155/2014/207502 |
| spellingShingle | Ali Farajzadeh Somaye Jafari Chin-Tzong Pang On η-Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems Abstract and Applied Analysis |
| title | On η-Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems |
| title_full | On η-Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems |
| title_fullStr | On η-Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems |
| title_full_unstemmed | On η-Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems |
| title_short | On η-Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems |
| title_sort | on η upper sign property and upper sign continuity and their applications in equilibrium like problems |
| url | http://dx.doi.org/10.1155/2014/207502 |
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