Extension and selection theorems in topological spaces with a generalized convexity structure

DOI10.5802/afst.766zbMath0799.54013OpenAlexW2315505940MaRDI QIDQ1327534

Charles D. Horvath

Publication date: 19 June 1994

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1993_6_2_2_253_0

zbMATH Keywords

generalized convexityKakutani fixed point theoremMichael selection theoremDugundji extension theorem

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Selections in general topology (54C65) Extension of maps (54C20)

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Cites Work

• Continuous selections. I
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• Some further generalizations of Knaster-Kuratowski-Mazurkiewicz theorem and minimax inequalities
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• Approximation of set valued functions and fixed point theorems
• An extension of Tietze's theorem
• Hyperconvexity and approximate fixed points
• A new minimax inequality on H-spaces with applications
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