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.