Existence of solutions to some equilibrium problems

The concept of a monotone family of functions, which need not be countable, and the solution of an equilibrium problem associated with the family are introduced. A fixed-point theorem is applied to prove the existence of solutions to the problem.

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Bibliographic Details
Published inJournal of optimization theory and applications Vol. 126; no. 1; pp. 97 - 107
Main Authors DJAFARI ROUHANI, B, TARAFDAR, E, WATSON, P. J
Format Journal Article
LanguageEnglish
Published New York, NY Springer 01.07.2005
Springer Nature B.V
Subjects
Applied sciences
Equilibrium
Exact sciences and technology
Existence theorems
Mapping
Mathematical programming
Mathematics
Operational research and scientific management
Operational research. Management science
Optimization
Studies
Theorems
Monotonic function
equilibrium problems
Monotone and pseudomonotone family of mappings
Fixed point theorem
Equilibrium problem
Existence of solution
fixed-point theorems
hemicontinuous mappings
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Summary:The concept of a monotone family of functions, which need not be countable, and the solution of an equilibrium problem associated with the family are introduced. A fixed-point theorem is applied to prove the existence of solutions to the problem.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-005-2660-7