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In this paper we extend Takahashi's fixed point theorem on discrete semigroups to general semi-topological semigroups. Next we define the semi-asymptotic non-expansive action of semi-topological semigroups to give a partial affirmative answer to an open problem raised by A.T-M. Lau.
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참고문헌 (16)
참고문헌 신청
D. E. Alspach / 1981 / A fixed point free non-expansive map / Proc. Amer. Math. Soc 82(3):423~424
L. P. Belluce / 1966 / Fixed point theorems for families of contraction mappings / Pacific J. Math 18:213~217
L. P. Belluce / 1967 / Nonexpansive mappings and fixed points in Banach spaces / Illinois J. Math 11:474~479
J. F. Berglund / 1989 / Analysis on Semigroups / John Wiley &Sons Inc.
M. M. Day / 1957 / Amenable semigroups / Illinois J. Math 1:509~544
L. P. Belluce / 1966 / Fixed point theorems for families of contraction mappings / Pacific J. Math 18:213~217
L. P. Belluce / 1967 / Nonexpansive mappings and fixed points in Banach spaces / Illinois J. Math 11:474~479
J. F. Berglund / 1989 / Analysis on Semigroups / John Wiley &Sons Inc.
M. M. Day / 1957 / Amenable semigroups / Illinois J. Math 1:509~544
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