Banach空间中某些广义压缩映像不动点的迭代逼近(英文)

Iteration Approximation of Fixed Point for-Some Generalized Contractive Mappings in Banach Spaces

在Ｐ－一致光滑Ｂａｎａｃｈ空间和一致光滑Ｂａｎａｃｈ空间中，研究了准压缩映像对和广义压缩映像的Ｉｓｈｉｋａｗａ迭代过程，得出了它们强收敛于各自不动点的充分条件。这些条件在同类结果中是较弱的。

This paper researched Ishikawa iterative process of quasi-contractive mapping pair and generalized contractive mapping in P-uniform smooth Banach space and uniform smooth Banach space.The authors obtained some sufficient conditions which ensure above mapping strong convergence their fixed point, respectively. These conditions are more weakly in same class result.