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http://dx.doi.org/10.14317/jami.2015.013

STRONG CONVERGENCE OF STRICT PSEUDO-CONTRACTIONS IN Q-UNIFORMLY SMOOTH BANACH SPACES  

Pei, Yonggang (College of Mathematics and Information Science, Henan Normal University)
Liu, Fujun (Faculty of Science, Henan Institute of Engineering)
Gao, Qinghui (College of Mathematics and Information Science, Henan Normal University)
Publication Information
Journal of applied mathematics & informatics / v.33, no.1_2, 2015 , pp. 13-31 More about this Journal
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;
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