Weak Uniform Normal Structure and Fixed Points of Asymptotically Regular Semigroups  

作　　者：Lu Chuan ZENG 

机构地区：[1]Department of Mathematics,Shanghai Normal University

出　　处：《Acta Mathematica Sinica,English Series》2004年第6期977-982,共6页数学学报（英文版）

基　　金：supported both by the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE,P.R.C.;by the National Natural Science Foundation 19801023

摘　　要：Let X be a Banach space with a weak uniform normal structure and C a non–empty convex weakly compact subset of X. Under some suitable restriction, we prove that every asymptotically regular semigroup T = {T(t) : t ∈? S} of selfmappings on C satisfyingLet X be a Banach space with a weak uniform normal structure and C a non–empty convex weakly compact subset of X. Under some suitable restriction, we prove that every asymptotically regular semigroup T = {T(t) : t ∈? S} of selfmappings on C satisfying

关 键 词：Weak uniform normal structure Fixed point Exact Lipschitz constant Weakly convergent sequence coefficient Asymptotically regular semigroup 

分 类 号：O152.7[理学—数学]