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

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Published: Nov 15, 2010
DOI: https://doi.org/10.14403/jcms.2010.23.4.801
Keywords:
quasi-φ-nonexpansive mapping, φ-nonexpansive mapping, normal Mann iteration, generalized projection
Mathematics Subject Classification (2020):
Primary 47H09, 47J25

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Shin Min Kang
Department of Mathematics and RINS, Gyeongsang National University
Jungsoo Rhee
Department of Mathematics, Pusan University of Foreign Studies
Young Chel Kwun
Department of Mathematics, Dong-A University

Abstract





In this paper, we consider the convergence of the shrinking projection method for quasi-φ-nonexpansive mappings. Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which enjoys the Kadec-Klee property.





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Article Details

Issue
Vol. 23 No. 4 (2010)
Section
Articles