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

DOI10.1080/01630569608816703zbMath0854.49009OpenAlexW2127845822MaRDI QIDQ4714548

George Xian-Zhi Yuan, H. B. Thompson

Publication date: 7 November 1996

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569608816703

zbMATH Keywords

set-valued mappingssemicontinuitytopological spacesintersection theoremstopological minimax inequalities

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Existence of solutions for minimax problems (49J35) Methods involving semicontinuity and convergence; relaxation (49J45)

Cites Work

• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
• Minimax theorems with staircases
• A general minimax theorem based on connectedness
• Minimax theorems for interval spaces
• Intersection theorems and minimax theorems based on connectedness
• A flexible minimax theorem
• A topological KKM theorem and minimax theorems
• Intersecting sets in midset spaces. I
• A note on Ky Fan's minimax theorem
• Minimax theorems for upper semicontinuous functions
• Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
• Unnamed Item

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