A Maximal Element Theorem in FWC-Spaces and its Applications

DSpace/Manakin Repository

A Maximal Element Theorem in FWC-Spaces and its Applications

Show full item record

Title: A Maximal Element Theorem in FWC-Spaces and its Applications
Author(s):
Lu, Haishu;
Hu, Qingwen (UT Dallas);
Miao, Yulin
Item Type: Article
Keywords: Maximal element theorems
Finite weakly convex spaces
Subspaces
Set-valued maps
Abstract: 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.
Publisher: Hindawi Publishing Corporation
ISSN: 1537-744X
Persistent Link: http://hdl.handle.net/10735.1/4016
http://dx.doi.org/10.1155/2014/890696
Terms of Use: CC-BY 3.0 (Attribution)
©2014 The Authors

Files in this item

Files Size Format View
NSM-FR-QHu-270994.56.pdf 315.7Kb PDF View/Open Article

This item appears in the following Collection(s)


Show full item record

CC-BY 3.0 (Attribution) Except where otherwise noted, this item's license is described as CC-BY 3.0 (Attribution)