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. & 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., & 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
Saeidi, S. & 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,
VANCOUVER
Saeidi S., Haydari H. Hybrid steepest-descent method with sequential and functional errors in Banach space. BIMS. 2013;39(4):599–617.
