Strong convergence of shrinking projection methods for a family of pseudocontractive mappings in Hilbert spaces
作者： Yu-Chao Tang , Ji-Gen Peng , Li-Wei Liu
DOI: 10.1016/J.MCM.2011.07.038
关键词:
摘要: Abstract The shrinking projection method has gained more and attention as a powerful tool for the approximation of fixed point nonlinear mappings. In this paper, we introduce new points family pseudocontractive mappings in Hilbert space. Using method, also deal with problem finding common zero monotone operators obtain strong convergence theorem.
tpbin.com
elsevier.com参考文章(33)
Balwant Singh Thakur, Convergence of Strictly Asymptotically Pseudo-Contractions Thai Journal of Mathematics. ,vol. 5, pp. 41- 52 ,(2012)
C. E. Chidume, S. A. Mutangadura, An example on the Mann iteration method for Lipschitz pseudocontractions Proceedings of the American Mathematical Society. ,vol. 129, pp. 2359- 2363 ,(2001) , 10.1090/S0002-9939-01-06009-9
Carlos Martinez-Yanes, Hong-Kun Xu, Strong convergence of the CQ method for fixed point iteration processes Nonlinear Analysis-theory Methods & Applications. ,vol. 64, pp. 2400- 2411 ,(2006) , 10.1016/J.NA.2005.08.018
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
Xiaolong Qin, Yeol Je Cho, Shin Min Kang, Meijuan Shang, A hybrid iterative scheme for asymptotically -strict pseudo-contractions in Hilbert spaces Nonlinear Analysis: Theory, Methods & Applications. ,vol. 70, pp. 1902- 1911 ,(2009) , 10.1016/J.NA.2008.02.090
Songnian He, Caiping Yang, Peichao Duan, Realization of the hybrid method for Mann iterations Applied Mathematics and Computation. ,vol. 217, pp. 4239- 4247 ,(2010) , 10.1016/J.AMC.2010.10.039
Kazuhide Nakajo, Wataru Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups Journal of Mathematical Analysis and Applications. ,vol. 279, pp. 372- 379 ,(2003) , 10.1016/S0022-247X(02)00458-4
Xiaolong Qin, Haiyun Zhou, Shin Min Kang, Strong convergence of Mann type implicit iterative process for demi-continuous pseudo-contractions Journal of Applied Mathematics and Computing. ,vol. 29, pp. 217- 228 ,(2009) , 10.1007/S12190-008-0126-4
Patrick L. Combettes, Valérie R. Wajs, SIGNAL RECOVERY BY PROXIMAL FORWARD-BACKWARD SPLITTING ∗ Multiscale Modeling & Simulation. ,vol. 4, pp. 1168- 1200 ,(2005) , 10.1137/050626090
Simeon Reich, Weak convergence theorems for nonexpansive mappings in Banach spaces Journal of Mathematical Analysis and Applications. ,vol. 67, pp. 274- 276 ,(1979) , 10.1016/0022-247X(79)90024-6