TY - JOUR
T1 - A FIXED POINT THEOREM FOR NONSELF NONLINEAR CONTRACTIONS IN LENGTH SPACES
AU - Reich, Simeon
AU - Zaslavski, Alexander J.
N1 - Publisher Copyright:
© 2024 Juliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University in Toruń.
PY - 2024/3
Y1 - 2024/3
N2 - 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.
AB - 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.
KW - Complete metric space
KW - contractive mapping
KW - fixed point, nonex-pansive mapping
UR - http://www.scopus.com/inward/record.url?scp=85190851240&partnerID=8YFLogxK
U2 - 10.12775/TMNA.2023.007
DO - 10.12775/TMNA.2023.007
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AN - SCOPUS:85190851240
SN - 1230-3429
VL - 63
SP - 13
EP - 22
JO - Topological Methods in Nonlinear Analysis
JF - Topological Methods in Nonlinear Analysis
IS - 1
ER -