Modified Iterative Algorithms for Nonexpansive Mappings | Zendy

Yonghong Yao | Zendy; Muhammad Aslam Noor | Zendy; Syed Tauseef MohyudDin | Zendy

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Modified Iterative Algorithms for Nonexpansive Mappings

Author(s) -

Yonghong Yao,

Muhammad Aslam Noor,

Syed Tauseef MohyudDin

Publication year - 2009

Publication title -

international journal of stochastic analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-3340

pISSN - 2090-3332

DOI - 10.1155/2009/320820

Subject(s) - algorithm , computer science , artificial intelligence

Let H be a real Hilbert space, let S, T be two nonexpansive mappings such that F(S)∩F(T)≠∅, let f be a contractive mapping, and let A be a strongly positive linear bounded operator on H. In this paper, we suggest and consider the strong converegence analysis of a new two-step iterative algorithms for finding the approximate solution of two nonexpansive mappings as xn+1=βnxn+(1−βn)Syn, yn=αnγf(xn)+(I−αnA)Txn, n≥0 is a real number and {αn}, {βn} are two sequences in (0,1) satisfying the followingcontrol conditions:(C1) lim⁡n→∞ αn=0, (C3) 0

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