Strong convergence theorems for a family non-expansive mappings and application to generalized mixed equilibrium problems systems
作者： Zi-Ming Wang , Xiaolong Qin , Zhentao Gu , Yongfu Su
DOI: 10.1007/S12190-010-0416-5
关键词:
摘要: In this paper, we introduce an iterative scheme for finding common fixed point of infinite family non-expansive mappings in Hilbert space. Furthermore, prove that the proposed converges strongly to a point. As application, succeed applying our algorithm find solution generalized mixed equilibrium problems systems. Our results improve and extend corresponding announced by W. Takahashi, Y. Takeuchi, R. Kubota (J. Math. Anal. Appl. 341:276–286, 2008); S. Takahashi (Nonlinear 69:1025–1033, N. Petrot, K. Wattanawitoon, P. Kumam Hybrid Syst., 2010, doi:10.1016/j.nahs.2010.03.008) some others references.
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