Contractive mappings, Kannan mappings and metric completeness-Reference-Cited by-同舟云学术

Contractive mappings, Kannan mappings and metric completeness

Published:1998 Issue:10 Volume:126 Page:3117-3124
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Shioji Naoki,Suzuki Tomonari,Takahashi Wataru

Abstract

In this paper, we first study the relationship between weakly contractive mappings and weakly Kannan mappings. Further, we discuss characterizations of metric completeness which are connected with the existence of fixed points for mappings. Especially, we show that a metric space is complete if it has the fixed point property for Kannan mappings.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1998-126-10/S0002-9939-98-04605-X/S0002-9939-98-04605-X.pdf

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