On η -Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems
Joint Authors
Farajzadeh, Ali
Jafari, Somaye
Pang, Chin-Tzong
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-27
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We first introduce the notion of η -upper sign propertywhich 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.
American Psychological Association (APA)
Farajzadeh, Ali& Jafari, Somaye& Pang, Chin-Tzong. 2014. On η -Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033607
Modern Language Association (MLA)
Farajzadeh, Ali…[et al.]. On η -Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1033607
American Medical Association (AMA)
Farajzadeh, Ali& Jafari, Somaye& Pang, Chin-Tzong. On η -Upper Sign Property and Upper Sign Continuity and Their Applications in Equilibrium-Like Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1033607
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033607