Fixed point theorems for mappings with a contractive iterate at a point-Reference-Cited by-同舟云学术

Fixed point theorems for mappings with a contractive iterate at a point

Published:1970 Issue:4 Volume:26 Page:615-618
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Guseman L. F.

Abstract

In a recent paper, V. M. Sehgal discussed continuous self-mappings of a complete metric space with a contractive iterate at each point of the space. Sehgal showed that such mappings have a unique fixed point and the sequence of iterates of any point in the space converges to the fixed point. In the present paper, the result of Sehgal is generalized to mappings which are not necessarily continuous and which have a contractive iterate at each point in a (possibly proper) subset of the space.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1970-026-04/S0002-9939-1970-0266010-3/S0002-9939-1970-0266010-3.pdf

Reference1 articles.

1. A fixed point theorem for mappings with a contractive iterate;Sehgal, V. M.;Proc. Amer. Math. Soc.,1969

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