Journal
JOURNAL OF APPROXIMATION THEORY
Volume 134, Issue 2, Pages 257-266Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jat.2005.02.007
Keywords
relatively nonexpansive mapping; nonexpansive mapping; asymptotic fixed point; generalized projection; maximal monotone operator
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In this paper, we prove a strong convergence theorem for relatively nonexpansive mappings in a Banach space by using the hybrid method in mathematical programming. Using this result, we also discuss the problem of strong convergence concerning nonexpansive mappings in a Hilbert space and maximal monotone operators in a Banach space. (c) 2005 Elsevier Inc. All rights reserved.
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