General two-function topological minimax theorems

Using the level set method of Joó (Acta Math Hung 54(1–2):163–172, 1989 ), a general two-function topological minimax theorem are proved. The theorem improves and generalizes the known results shown by Cheng and Lin (Acta Math Hung 73(1–2):65–69, 1996 ), Lin and Cheng (Acta Math Hung 100(3):177–186,...

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Bibliographic Details
Published inAnnals of operations research Vol. 217; no. 1; pp. 591 - 598
Main Author Zhang, Qing-Bang
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.06.2014
Springer
Springer Nature B.V
Subjects
Algebraic topology
Business and Management
Combinatorics
Equality
Functional equations
Functions
Game theory
Mathematical functions
Mathematical research
Minimax technique
Operations research
Operations Research/Decision Theory
Studies
Theorems
Theorems (Mathematics)
Theory of Computation
Topology
Topological minimax theorem
Connectedness
52A30
Level set method
Topological space
49K35
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Summary:Using the level set method of Joó (Acta Math Hung 54(1–2):163–172, 1989 ), a general two-function topological minimax theorem are proved. The theorem improves and generalizes the known results shown by Cheng and Lin (Acta Math Hung 73(1–2):65–69, 1996 ), Lin and Cheng (Acta Math Hung 100(3):177–186, 2003 ), and Frenk and Kassay (Math Program Ser A 105(1):145–155, 2006 ).
Bibliography:SourceType-Scholarly Journals-1
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ISSN:0254-5330
1572-9338
DOI:10.1007/s10479-014-1539-0