Strong convergence theorem for a common fixed point of a finite family of strictly pseudo-contractive mappings and a strictly pseudononspreading mapping

作者: Yifen Ke , Changfeng Ma

DOI: 10.1186/S13663-015-0366-6

关键词:

摘要: In this paper, we introduce a new mapping in real Hilbert space to prove strong convergence theorem for finding common fixed point of finite family strictly pseudo-contractive mappings and pseudononspreading mapping. Moreover, also obtain inverse-strongly monotone

参考文章(47)
M. Kikkawa, W. Takahashi, Approximating Fixed Points of Infinite Nonexpansive Mappings by the Hybrid Method Journal of Optimization Theory and Applications. ,vol. 117, pp. 93- 101 ,(2003) , 10.1023/A:1023652406878
H.K. Xu, An Iterative Approach to Quadratic Optimization Journal of Optimization Theory and Applications. ,vol. 116, pp. 659- 678 ,(2003) , 10.1023/A:1023073621589
Chia-Ping Chen, ALGORITHMS CONSTRUCTION FOR NONEXPANSIVE MAPPINGS AND INVERSE-STRONGLY MONOTONE MAPPINGS Taiwanese Journal of Mathematics. ,vol. 15, pp. 1979- 1998 ,(2011) , 10.11650/TJM.15.2011.242
Takanori Ibaraki, Wataru Takahashi, WEAK CONVERGENCE THEOREM FOR NEW NONEXPANSIVE MAPPINGS IN BANACH SPACES AND ITS APPLICATIONS Taiwanese Journal of Mathematics. ,vol. 11, pp. 929- 944 ,(2007) , 10.11650/TWJM/1500404766
W. Takahashi, K. Nakajo, K. Shimoji, STRONG CONVERGENCE THEOREMS BY THE HYBRID METHOD FOR FAMILIES OF NONEXPANSIVE MAPPINGS IN HILBERT SPACES Taiwanese Journal of Mathematics. ,vol. 10, pp. 339- 360 ,(2006) , 10.11650/TJM.10.2006.889
Wataru Takahashi, Kazuya Shimoji, STRONG CONVERGENCE TO COMMON FIXED POINTS OF INFINITE NONEXPANSIVE MAPPINGS AND APPLICATIONS Taiwanese Journal of Mathematics. ,vol. 5, pp. 387- 404 ,(2001) , 10.11650/TJM.5.2001.1233
Ştefan Măruşter, Cristina Popirlan, None, On the Mann-type iteration and the convex feasibility problem Journal of Computational and Applied Mathematics. ,vol. 212, pp. 390- 396 ,(2008) , 10.1016/J.CAM.2006.12.012