Vol. 21(2020) No. 1

 

 

  Some fixed point results are futile for the metric spaces with finite diameter
 
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Fixed Point Theory, Volume 21, No. 1, 2020, 305-308, February 1st, 2020

DOI: 10.24193/fpt-ro.2020.1.21

Authors: Ehsan Pourhadi

Abstract: In this short note, we state some crucial facts which have to be accompanied in a series of results in the literature. Furthermore, the aim of this paper is to warn researchers to be cautious in modeling different problems governed by expansive or contractive type mappings, in the setting of a bounded metric space.

Key Words and Phrases: Expansive mapping, contractive mapping, partial ordering.

2010 Mathematics Subject Classification: 47H09, 47H10, 54H25.

Published on-line: February 1st, 2020.

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