Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces

Details Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces

2007-12-07

arxiv.org/abs/0712.1172v1

Mathematics

Optimization and Control

Scientific paper

Let $X$ be a real Banach space with a normalized duality mapping uniformly norm-to-weak$^\star$ continuous on bounded sets or a reflexive Banach space which admits a weakly continuous duality mapping $J_{\Phi}$ with gauge $\phi$. Let $f$ be an {\em $\alpha$-contraction} and $\{T_n\}$ a sequence of nonexpansive mapping, we study the strong convergence of explicit iterative schemes x_{n+1} = \alpha_n f(x_n) + (1-\alpha_n) T_n x_n with a general theorem and then recover and improve some specific cases studied in the literature

Affiliated with

Also associated with

No associations

Rating

Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Iterative schemes for computing fixed points of nonexpansive mappings in Banach spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-120919