@article {
author = {Saeidi, S. and Haydari, H.},
title = {Hybrid steepest-descent method with sequential and functional errors in Banach space},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {4},
pages = {599-617},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let $X$ be a reflexive Banach space, $T:Xto X$ be a nonexpansive mapping with $C=Fix(T)neqemptyset$ and $F:Xto X$ be $delta$-strongly accretive and $lambda$- strictly pseudocotractive with $delta+lambda>1$. In this paper, we present modified hybrid steepest-descent methods, involving sequential errors and functional errors with functions admitting a center, which generate convergent sequences to the unique solution of the variational inequality $VI^*(F, C)$. We also present similar results for a strongly monotone and Lipschitzian operator in the context of a Hilbert space and apply the results for solving a minimization problem.},
keywords = {fixed point,hybrid steepest-descent method,Nonexpansive mapping,variational inequality},
url = {http://bims.iranjournals.ir/article_230.html},
eprint = {http://bims.iranjournals.ir/article_230_c22700f2141e4eab510b5c02df17748f.pdf}
}