Solving the Set Equilibrium Problems

We study the weak solutions and strong solutions of set equilibrium problems in real Hausdorff topological vector space settings. Several new results of existence for the weak solutions and strong solutions of set equilibrium problems are derived. The new results extend and modify various existence...

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Bibliographic Details
Published inFixed point theory and applications (Hindawi Publishing Corporation) Vol. 2011; no. 1
Main Authors Lin, Yen-Cherng, Chen, Hsin-Jung
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.01.2011
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Differential Geometry
Equilibrium Problems and Fixed Point Theory
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Research Article
Topology
Nonempty Closed Convex Subset
Lower Semicontinuous
Strong Solution
Weak Solution
Vector Equilibrium Problem
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Summary:We study the weak solutions and strong solutions of set equilibrium problems in real Hausdorff topological vector space settings. Several new results of existence for the weak solutions and strong solutions of set equilibrium problems are derived. The new results extend and modify various existence theorems for similar problems.
ISSN:1687-1812
1687-1820
1687-1812
DOI:10.1155/2011/945413