Common fixed points in Chebyshev center for a semigroup of isometry mappings
DOI:
https://doi.org/10.12775/TMNA.2024.035Keywords
Isometry mappings, common fixed points, topological semigroup, semigroup action, left reversible semigroup, normal structure, Chebyshev centerAbstract
In this article, we prove that if $K$ is a nonempty weakly compact convex set having the normal structure in a Banach space $B$ and $\mathfrak{F}$ is a left reversible semitopological semigroup of isometry mappings from $K$ into itself, then there exists a point in $C(K)$ which is fixed by every member in $\mathfrak{F}$. This gives an affirmative answer to a question raised by Lim et al.References
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Copyright (c) 2025 Sharma Abhishek, Sankara Narayanan Rajesh
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