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http://dx.doi.org/10.14403/jcms.2010.23.4.801

STRONG CONVERGENCE OF HYBRID PROJECTION METHODS FOR QUASI-ϕ-NONEXPANSIVE MAPPINGS  

Kang, Shin Min (Department of Mathematics and RINS Gyeongsang National University)
Rhee, Jungsoo (Department of Mathematics Pusan University of Foreign Studies)
Kwun, Young Chel (Department of Mathematics Dong-A University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.23, no.4, 2010 , pp. 801-812 More about this Journal
Abstract
In this paper, we consider the convergence of the shrinking projection method for quasi-$\phi$-nonexpansive mappings. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which enjoys the Kadec-Klee property.
Keywords
quasi-$\phi$-nonexpansive mapping; $\phi$-nonexpansive mapping; normal Mann iteration; generalized projection;
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