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scholarly journals Notes on Knaster-Tarski Theorem versus Monotone Nonexpansive Mappings

2018 ◽  
Vol 4 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Mohamed Amine Khamsi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theory ◽  
Nonexpansive Mappings ◽  
Point Theory ◽  
Theorem Versus

AbstractThe purpose of this note is to discuss the recent paper of Espínola and Wiśnicki about the fixed point theory of monotone nonexpansive mappings. In their work, it is claimed that most of the fixed point results of this class of mappings boil down to the classical Knaster-Tarski fixed point theorem. We will show that their approach is very restrictive and fail to have any meaningful usefulness in applications.

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