Strong Convergence Theorems for Nonexpansive Semigroups and Variational Inequalities in Banach Spaces

Haiqing Wang, Yongfu Su and Hong Zhang

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: Let X be a uniformly convex Banach space and 𝒮 = {T(s) : 0 ≤ s 0F(T(s)) ≠ ∅. Consider the iterative method that generates the sequence {xn} by the algorithm xn+1=αnf(xn)+βnxn+(110-αn-βn)(/sn)∫0snT(s)xnds,n≥, where {αn}, {βn}, and {sn} are three sequences satisfying certain conditions, f : C → C is a contraction mapping. Strong convergence of the algorithm {xn} is proved assuming X either has a weakly continuous duality map or has a uniformly Gâteaux differentiable norm.

Date: 2012
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2012/641479

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:wly:jnljam:v:2012:y:2012:i:1:n:641479

Access Statistics for this article

More articles in Journal of Applied Mathematics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().