王林, 徐裕光. 有限族多值Φ-伪压缩映象公共不动点的强收敛定理[J]. 云南大学学报(自然科学版), 2006, 28(1): 1-7,11.
引用本文: 王林, 徐裕光. 有限族多值Φ-伪压缩映象公共不动点的强收敛定理[J]. 云南大学学报(自然科学版), 2006, 28(1): 1-7,11.
WANG Lin, XU Yu-guang. Strong convergence theorems for common fixed points of a finite family of multi-valued Φ-pseudocontractive mappings[J]. Journal of Yunnan University: Natural Sciences Edition, 2006, 28(1): 1-7,11.
Citation: WANG Lin, XU Yu-guang. Strong convergence theorems for common fixed points of a finite family of multi-valued Φ-pseudocontractive mappings[J]. Journal of Yunnan University: Natural Sciences Edition, 2006, 28(1): 1-7,11.

有限族多值Φ-伪压缩映象公共不动点的强收敛定理

Strong convergence theorems for common fixed points of a finite family of multi-valued Φ-pseudocontractive mappings

  • 摘要: 通过引入一个新的具误差的修正的Ishikawa迭代过程,在Hilbert空间和一致光滑的Banach空间中,证明了此迭代系列强收敛于有限族多值Φ-伪压缩映象的公共不动点,所得结果改进和扩展了本领域中近期的一些相关结果.

     

    Abstract: By introducing a new modified Ishikawa iterative process with errors,it is identified that the iterative sequence converges strongly to unique common fixed point of a finite family of multi-valued Φ-pseudocontractive mappings in Hilbert space or uniformly smooth Banach space.The results presented in this paper improve and extend some corresponding results in this field.

     

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