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Dergiler / Advances in the Theory of Nonlinear Analysis and its Application / 2026 / Cilt: 6 Sayı: 3

Some new equivalents of the Brouwer fixed point theorem

Sehie Park(Seoul National University)
Sayfa
300–309
Yayın Tarihi
2022-09-30
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Consequently, we add up our large list of such equivalents.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This is to recollect the equivalent formulations of the Brouwer fixed point theorem.
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Temel Bulgular & Veri:We collect a large number of recently known sources of such equivalents.
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Sonuç & Katkı:Consequently, we add up our large list of such equivalents.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Abstract convex space · KKM theorem · KKM class of multimaps

Abstract

This is to recollect the equivalent formulations of the Brouwer fixed point theorem. We collect a large number of recently known sources of such equivalents. More recently, Jinlu Li obtained two fixed point theorems on newly defined quasi-point-separable topological vector spaces. His theorems extend the Tychonoff fixed point theorem on locally convex t.v.s. However, we note that his new theorems are logically equivalent to the Brouwer fixed point theorem. Consequently, we add up our large list of such equivalents.

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Bu Makaleye Atıf Yap

Park, S. (2022). Some new equivalents of the Brouwer fixed point theorem. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 6 Sayı: 3, 300–309. https://doi.org/10.31197/atnaa.1086232

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