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.
Saeidi,S. and Haydari,H. (2013). Hybrid steepest-descent method with sequential and functional errors in Banach space. Bulletin of the Iranian Mathematical Society, 39(4), 599-617.
MLA
Saeidi,S. , and Haydari,H. . "Hybrid steepest-descent method with sequential and functional errors in Banach space", Bulletin of the Iranian Mathematical Society, 39, 4, 2013, 599-617.
HARVARD
Saeidi S., Haydari H. (2013). 'Hybrid steepest-descent method with sequential and functional errors in Banach space', Bulletin of the Iranian Mathematical Society, 39(4), pp. 599-617.
CHICAGO
S. Saeidi and H. Haydari, "Hybrid steepest-descent method with sequential and functional errors in Banach space," Bulletin of the Iranian Mathematical Society, 39 4 (2013): 599-617,
VANCOUVER
Saeidi S., Haydari H. Hybrid steepest-descent method with sequential and functional errors in Banach space. BIMS, 2013; 39(4): 599-617.
