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谢显华, 许绍元. 锥壳中严格集压缩映射的新不动点定理[J]. 信阳师范学院学报(自然科学版), 2011, 24(4): 440-443.
引用本文: 谢显华, 许绍元. 锥壳中严格集压缩映射的新不动点定理[J]. 信阳师范学院学报(自然科学版), 2011, 24(4): 440-443.
shu
XIE Xian-hua, XU Shao-yuan. New Fixed Point Theorems for Continuous k-set Contraction(k<1) in Conical Shells[J]. Journal of Xinyang Normal University (Natural Science Edition), 2011, 24(4): 440-443.
Citation: XIE Xian-hua, XU Shao-yuan. New Fixed Point Theorems for Continuous k-set Contraction(k<1) in Conical Shells[J]. Journal of Xinyang Normal University (Natural Science Edition), 2011, 24(4): 440-443.
shu

锥壳中严格集压缩映射的新不动点定理

New Fixed Point Theorems for Continuous k-set Contraction(k<1) in Conical Shells

    摘要
  • 摘要: 利用锥壳中严格集压缩映射的一个基本不动点定理,在适当的边界条件下,不仅得到了锥壳中严格集压缩映射的新不动点定理,而且还得到了锥壳中严格集压缩映射的Altman定理、Roth定理和Petryshyn定理及其各种推广形式

     

    Abstract: Based on a basic result on compact and continuous mappings in conical shells,some new fixed point theorems for compact and continuous mappings in conical shells are obtained.The Altman’s theorem,Roth’s theorem,Petryshyn theorem and their different forms for such class of mappings are obtained and generalized.

     

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