A fixed point theorem for nonexpansive semigroups in p-uniformly convex Banach spaces
Copyright policy ) Jae Ug Jeong;
A fixed point theorem for nonexpansive semigroups in p-uniformly convex Banach spaces
We prove that if RUC(S) has a left invariant mean,ρ = {Ts:s ∈S} is a continuous representation ofS as nonexpansive mappings on a closed convex subsetC of a p-uniformly convex and p-uniformly smooth Banach space andC contains an element of bounded orbit, thenC contains a common fixed point forρ.
- Dong-Eui University Korea (Republic of)
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