A fixed point theorem for nonself nonlinear contractions in length spaces
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Published:2024-03-03
Issue:
Volume:
Page:1-10
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ISSN:1230-3429
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Container-title:Topological Methods in Nonlinear Analysis
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language:
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Short-container-title:TMNA
Author:
Reich SimeonORCID,
Zaslavski Alexander J.
Abstract
In 1988 N.A. Assad showed that a nonself nonlinear contraction taking a closed
subset of a complete metrically convex space into the space so that the boundary
of this subset is mapped back into the subset itself has a unique fixed point.
In the present paper we extend this result by replacing the complete metrically
convex space with a complete metric space which is a length space.
Publisher
Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus University