Fixed point algorithms for the split problem of demicontractive operators


Authors

Xiaoxue Zheng - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China. Yonghong Yao - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China. Yeong-Cheng Liou - Department of Healthcare Administration and Medical Informatics, and Research Center of Nonlinear Analysis and Optimization, Kaohsiung Medical University, and Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 807, Taiwan. Limin Leng - Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China.


Abstract

A fixed point method is introduced for solving the split common fixed point problem of demicontractive operators in Hilbert spaces. By virtue of this fixed point method, we construct an iteration based on Mann’s method for solving the split common fixed point problem of demicontractive operators. Weak convergence analysis is given under some mild assumptions.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

Xiaoxue Zheng, Yonghong Yao, Yeong-Cheng Liou, Limin Leng, Fixed point algorithms for the split problem of demicontractive operators, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 3, 1263--1269

AMA Style

Zheng Xiaoxue, Yao Yonghong, Liou Yeong-Cheng, Leng Limin, Fixed point algorithms for the split problem of demicontractive operators. J. Nonlinear Sci. Appl. (2017); 10(3):1263--1269

Chicago/Turabian Style

Zheng, Xiaoxue, Yao, Yonghong, Liou, Yeong-Cheng, Leng, Limin. "Fixed point algorithms for the split problem of demicontractive operators." Journal of Nonlinear Sciences and Applications, 10, no. 3 (2017): 1263--1269


Keywords


MSC


References