A fixed point theorem for nonself nonlinear contractions in length spaces
DOI:
https://doi.org/10.12775/TMNA.2023.007Keywords
Complete metric space, contractive mapping, fixed point, nonexpansive mappingAbstract
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.References
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