设H是一实Hilbert空间,设{Tn}:H→H是一可数族的非扩张映像,且M:=∞∩n=1F(Tn)≠(O).求解了一可数族非扩张映像{Tn}关于另一非扩张映像S:H→H之一公共不动点,即是求一x*∈M,使得〈x*-Sx*,x*-x〉≤0,(V)x∈M.%Let H be a real Hilbert space,{ Tn } :H→H be a countable family of nonexpansive mappings,and M: = ∞∩n=1 F(Tn) ≠φ.The solutions of the countable family of nonexpansive mappings [Tn] are sought in the set of the fixed points of another nonexpansive mapping S;H→H,that is to find an x* ∈M,such that ＜χ* -Sχ* ,χ* -χ) ≤0,(A)χ∈M.
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