Hybrid Method with Perturbation for Lipschitzian Pseudocontractions

Lu-Chuan Ceng and Ching-Feng Wen

Journal of Applied Mathematics, 2012, vol. 2012, 1-20

Abstract:

Assume that F is a nonlinear operator which is Lipschitzian and strongly monotone on a nonempty closed convex subset C of a real Hilbert space H . Assume also that is the intersection of the fixed point sets of a finite number of Lipschitzian pseudocontractive self-mappings on C . By combining hybrid steepest-descent method, Mann’s iteration method and projection method, we devise a hybrid iterative algorithm with perturbation F , which generates two sequences from an arbitrary initial point . These two sequences are shown to converge in norm to the same point under very mild assumptions.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/JAM/2012/250538.pdf (application/pdf)
http://downloads.hindawi.com/journals/JAM/2012/250538.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:250538

DOI: 10.1155/2012/250538

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().