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一致凸Banach空间中非扩张映射的新不动点定理

New fixed point theorems of nonexpansive mappings in uniformly convex banach spaces
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摘要 利用非扩张映射的非线性二择一性质,得到了一致凸Banach空间中非扩张映射的若干新不动点定理,从而推广了著名的非扩张映射Altman定理、Roth定理和Petryshyn定理. By means of nonlinear alternative for nonexpansive mappings,some new fixed point theorems of nonexpansive mappings are obtained.As a result,the famous Altman′s theorem,Roth′s theorem and Petryshyn theorem for such class of mappings are generalized.
作者 许绍元 马丽 谢显华
机构地区 赣南师范学院数学与计算机学院
出处 《纺织高校基础科学学报》 CAS 2011年第4期525-529,共5页 Basic Sciences Journal of Textile Universities
基金 国家自然科学基金资助项目(10961003)
关键词 非扩张映射 非线性二择一 不动点 一致凸BANACH空间 nonexpansive mapping nonlinear alternative fixed point uniformly convex Banach space
分类号 O177.91 [理学—基础数学]
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参考文献9

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二级参考文献27

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纺织高校基础科学学报
2011年 第4期

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