Advanced
STRONG CONVERGENCE OF STRICT PSEUDO-CONTRACTIONS IN Q-UNIFORMLY SMOOTH BANACH SPACES
STRONG CONVERGENCE OF STRICT PSEUDO-CONTRACTIONS IN Q-UNIFORMLY SMOOTH BANACH SPACES
Pei, Yonggang;Liu, Fujun;Gao, Qinghui
Journal of applied mathematics & informatics. 2015. Jan, 33(1_2): 13-31
DOI : http://dx.doi.org/10.14317/jami.2015.013
  • Received : February 24, 2014
  • Published : January 30, 2015
Download
PDF
e-PUB
PubReader
PPT
Export by style
Article
Author
Metrics
Cited by
TagCloud
Pei, Yonggang
Liu, Fujun
Gao, Qinghui
About the Authors
Pei, Yonggang
Liu, Fujun
Gao, Qinghui
Top
Abstract
Keywords

Abstract
In this paper, we introduce a general iterative algorithm for finding a common element of the common fixed point set of an infinite family of ${\lambda}_i$-strict pseudo-contractions and the solution set of a general system of variational inclusions for two inverse strongly accretive operators in q-uniformly smooth Banach spaces. Then, we analyze the strong convergence of the iterative sequence generated by the proposed iterative algorithm under mild conditions.
Keywords
q-uniformly smooth Banach space ;  convergence ;  iterative algorithm ;  fixed point ;  accretive operator
References
Citing 'STRONG CONVERGENCE OF STRICT PSEUDO-CONTRACTIONS IN Q-UNIFORMLY SMOOTH BANACH SPACES '
@article{ E1MCA9_2015_v33n1_2_13} ,title={STRONG CONVERGENCE OF STRICT PSEUDO-CONTRACTIONS IN Q-UNIFORMLY SMOOTH BANACH SPACES} ,volume={1_2} , url={http://dx.doi.org/10.14317/jami}, DOI={10.14317/jami} , number= {1_2} , journal={Journal of applied mathematics & informatics} , publisher={Korean Society of Computational and Applied Mathematics} , author={Yonggang, Pei and Fujun, Liu and Qinghui, Gao} , year={2015} , month={Jan}