𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Rates of weak convergence for images of measures by families of mappings

✍ Scribed by André Mas


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
85 KB
Volume
56
Category
Article
ISSN
0167-7152

No coin nor oath required. For personal study only.

✦ Synopsis


Suppose n is a sequence of measures on a separable metric space converging weakly to with rate n (in the Prohorov metric). We ÿnd a new rate of convergence of nf -1 to f -1 , where f belongs to a wide class of functions between two Banach spaces.


📜 SIMILAR VOLUMES


Weak convergence theorems for a countabl
✍ Weerayuth Nilsrakoo; Satit Saejung 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 724 KB

This paper is concerned with convergence of an approximating common fixed point sequence of countable Lipschitzian mappings in a uniformly convex Banach space. We also establish weak convergence theorems for finding a common element of the set of fixed points, the set of solutions of an equilibrium

On the convergence in variation for the
✍ Daria Alexandrova; Vladimir Bogachev; Andrei Pilipenko 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 481 KB

Let F,, F : R" -R" be measurable mappings such that F, -+ F and a,,., F, -+ i),? F in measure on a measurable set E. We give conditions ensuring that the images of Lebesgue measure XII., on E under the mappings F, converge in the variation norm to the image of Xlk; under F. For example, a sufficient

Weak convergence theorem for monotone ma
✍ Somyot Plubtieng; Poom Kumam 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 493 KB

In this paper, we introduce an iterative process for finding the common element of the set of common fixed points of a countable family of nonexpansive mappings and the set of solutions of the variational inequality problem for an α-inverse-strongly-monotone mapping. We obtain a weak convergence the

Convergence of an implicit algorithm for
✍ Safeer Hussain Khan; Isa Yildirim; Murat Ozdemir 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 298 KB

A ) a b s t r a c t In this paper, we study an implicit iterative algorithm for two nonexpansive mappings and two finite families of nonexpansive mappings in Banach spaces. We prove some weak and strong convergence theorems for these iterative algorithms. Our results extend some existing results.