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A Maximal Element Theorem in FWC-Spaces and Its Applications
Joint Authors
Hu, Qingwen
Miao, Yulin
Lu, Haishu
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-20
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
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.
American Psychological Association (APA)
Lu, Haishu& Hu, Qingwen& Miao, Yulin. 2014. A Maximal Element Theorem in FWC-Spaces and Its Applications. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1051474
Modern Language Association (MLA)
Lu, Haishu…[et al.]. A Maximal Element Theorem in FWC-Spaces and Its Applications. The Scientific World Journal No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1051474
American Medical Association (AMA)
Lu, Haishu& Hu, Qingwen& Miao, Yulin. A Maximal Element Theorem in FWC-Spaces and Its Applications. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1051474
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051474