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Keywords:
convex metric space; nonexpansive type mapping; fixed point
convex metric space; nonexpansive type mapping; fixed point
Summary:
Let $C$ be a closed convex subset of a complete convex metric space $X$. In this paper a class of selfmappings on $C$, which satisfy the nonexpansive type condition $(2)$ below, is introduced and investigated. The main result is that such mappings have a unique fixed point.
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