On the theory of plane fixed points

Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy

Release:

Releases Archive. Вестник ТюмГУ. Физико-математические науки. Информатика (№7, 2014)

Title:

On the theory of plane fixed points

Authors: Aleksey G. Khokhlov, Sergey D. Shalaginov

About the authors:

Aleksey G. Khokhlov, Cand. Sci. (Phys.-Math.), Associate Professor, Department of Mathematical Analysis and Theory of Functions, Institute of Mathematics and Computer Sciences, Tyumen State University
Sergey D. Shalaginov, Cand. Sci. (Phys.-Math.), Associate Professor, Department of Mathematical Analysis and Theory of Functions, Institute of Mathematics and Computer Sciences, Tyumen State University

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Abstract:

The article presents a new proof of the case showing that any connected compact separating the plane has a fixed point. The provided proof does not use the fundamental results of the fixed point theory or functional analysis.

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