Implicit Mann fixed point iterations for pseudo-contractive mappings

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Implicit Mann fixed point iterations for pseudo-contractive mappings

Let K be a compact convex subset of a real Hilbert space H and T:K→K a continuous hemicontractive map. Let {an},{bn} and {cn} be real sequences in [0, 1] such that an+bn+cn=1, and {un} and {vn} be sequences in K. In this paper we prove that, if {bn}, {cn} and {vn} satisfy some appropriate conditions, then for arbitrary x0K, the sequence {xn} defined iteratively by xn=anxn−1+bnTvn+cnun;n≥1, conv...

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ژورنال

عنوان ژورنال: Applied Mathematics Letters

سال: 2009

ISSN: 0893-9659

DOI: 10.1016/j.aml.2008.06.034