Topological intersection theorems for two set-valued mappings and applications to minimax inequalities

Thompson, B and Yuan, XZ (1996) Topological intersection theorems for two set-valued mappings and applications to minimax inequalities. Numerical Functional Analysis and Optimization, 17 3-4: 437-452. doi:10.1080/01630569608816703


Author Thompson, B
Yuan, XZ
Title Topological intersection theorems for two set-valued mappings and applications to minimax inequalities
Journal name Numerical Functional Analysis and Optimization   Check publisher's open access policy
ISSN 0163-0563
Publication date 1996-01-01
Year available 1996
Sub-type Article (original research)
DOI 10.1080/01630569608816703
Open Access Status Not yet assessed
Volume 17
Issue 3-4
Start page 437
End page 452
Total pages 16
Place of publication NEW YORK
Publisher MARCEL DEKKER INC
Language eng
Abstract In this paper, we introduce sufficient conditions for the non-empty intersection of two set-valued mappings in topological spaces. As applications, some topological minimax inequalities for two functions in which one of them is separately lower (or upper) semicontinuous are given. Finally, by employing our topological intersection theorems for two set-valued mappings, some other minimax inequalities have been derived without separately lower (or upper) semicontinuity under but with another condition. These results are topological versions of corresponding minimax inequalities for two functions due to Fan (1964) and Sion (1958) in topological vector spaces.
Keyword Connectedness
Spaces
Q-Index Code C1
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: ResearcherID Downloads - Archived
 
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