A homotopy method for brouwer fixed-point in pseudo cone condition

Yufeng Shang,Fei He,Zilong Yang,Sunchuan Gao

A homotopy method for brouwer fixed-point in pseudo cone condition

2011

Yufeng Shang
Fei He
Zilong Yang
Sunchuan Gao

This paper, we give a new pseudo cone condition for brouwer fixed-point. Under some conditions, existence and convergence of the homotopy path is proven.

Keywords:

Homotopy lifting property
n-connected
Degree of a continuous mapping
Homotopy
Homotopy sphere
Regular homotopy
Whitehead theorem
Homotopy analysis method
Mathematical analysis
Mathematics
Topology
Dual cone and polar cone
Brouwer fixed-point theorem
Fixed-point property

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