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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
Journal of applied mathematics & informatics. 2015. Jan, 33(1_2): 13-31
  • Received : February 24, 2014
  • Published : January 30, 2015
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Pei Yonggang
Liu Fujun
Gao Qinghui

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.
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