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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
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Pei Yonggang
Liu Fujun
Gao Qinghui
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Pei Yonggang
Liu Fujun
Gao Qinghui
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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 <TEX>${\lambda}_i$</TEX>-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
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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}