A general iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces
作者： Shuang Wang
DOI: 10.1016/J.AML.2010.12.048
关键词:
摘要: Abstract In this work, we consider a general composite iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces. It is proved that the sequence generated by scheme converges strongly to common point set fixed points, which solves variational inequality 〈 ( γ f − μ F ) q , p 〉 ≤ 0 ∈ ∩ i = 1 ∞ T . Our results improve and extend corresponding ones announced many others.
elsevier.com
core.ac.uk 
sci-hub.se 参考文章(9)
Jong Soo Jung, Strong convergence of iterative methods for k -strictly pseudo-contractive mappings in Hilbert spaces Applied Mathematics and Computation. ,vol. 215, pp. 3746- 3753 ,(2010) , 10.1016/J.AMC.2009.11.015
Shih-sen Chang, H.W. Joseph Lee, Chi Kin Chan, A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization Nonlinear Analysis: Theory, Methods & Applications. ,vol. 70, pp. 3307- 3319 ,(2009) , 10.1016/J.NA.2008.04.035
Tomonari Suzuki, Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals Journal of Mathematical Analysis and Applications. ,vol. 305, pp. 227- 239 ,(2005) , 10.1016/J.JMAA.2004.11.017
Giuseppe Marino, Hong-Kun Xu, A general iterative method for nonexpansive mappings in Hilbert spaces Journal of Mathematical Analysis and Applications. ,vol. 318, pp. 43- 52 ,(2006) , 10.1016/J.JMAA.2005.05.028
Hong-Kun Xu, Iterative Algorithms for Nonlinear Operators Journal of The London Mathematical Society-second Series. ,vol. 66, pp. 240- 256 ,(2002) , 10.1112/S0024610702003332
Haiyun Zhou, Convergence theorems of fixed points for -strict pseudo-contractions in Hilbert spaces Nonlinear Analysis: Theory, Methods & Applications. ,vol. 69, pp. 456- 462 ,(2008) , 10.1016/J.NA.2007.05.032
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
L.S. Liu, Ishikawa and Mann Iterative Process with Errors for Nonlinear Strongly Accretive Mappings in Banach Spaces Journal of Mathematical Analysis and Applications. ,vol. 194, pp. 114- 125 ,(1995) , 10.1006/JMAA.1995.1289
Ming Tian, A general iterative algorithm for nonexpansive mappings in Hilbert spaces Nonlinear Analysis-theory Methods & Applications. ,vol. 73, pp. 689- 694 ,(2010) , 10.1016/J.NA.2010.03.058