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Zbl 1239.47054
Iemoto, Shigeru; Takahashi, Wataru
Approximating common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space. (English)
[J] Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e2082-e2089 (2009). ISSN 0362-546X

Summary: We obtain some fundamental properties for nonspreading mappings in a Hilbert space. Further, we study the approximation of common fixed points of nonexpansive mappings and nonspreading mappings in a Hilbert space.
MSC 2000:
*47J25 Methods for solving nonlinear operator equations (general)
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
49J40 Variational methods including variational inequalities

Keywords: Hilbert space; nonexpansive mapping; nonspreading mapping; fixed point problem

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