Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709704 | Applied Mathematics Letters | 2009 | 4 Pages |
Abstract
Let KK be a compact convex subset of a real Hilbert space HH and T:K→KT:K→K a continuous hemi-contractive map. Let {an},{bn}{an},{bn} and {cn}{cn} be real sequences in [0, 1] such that an+bn+cn=1an+bn+cn=1, and {un}{un} and {vn}{vn} be sequences in KK. In this paper we prove that, if {bn}{bn}, {cn}{cn} and {vn}{vn} satisfy some appropriate conditions, then for arbitrary x0∈Kx0∈K, the sequence {xn}{xn} defined iteratively by xn=anxn−1+bnTvn+cnun;n≥1xn=anxn−1+bnTvn+cnun;n≥1, converges strongly to a fixed point of TT.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Ljubomir Ćirić, Arif Rafiq, Nenad Cakić, Jeong Sheok Ume,