Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Lipschitzian mapping

Sortuj według:

Ogranicz wyniki do:

A Companion of the generalized trapezoid inequality and applications

Alomari M. W.

Journal of Mathematics and Applications

2013

Vol. 36

5--15

A sharp companion of the generalized trapezoid inequality is introduced. Applications to quadrature formula are pointed out.

On the construction of common fixed points for semigroups of nonlinear mappings in uniformly convex and uniformly smooth Banach spaces

Kozlowski W. M.

Commentationes Mathematicae

2012

Vol. 52, [Z] 2

113--136

Let C be a bounded, closed, convex subset of a uniformly convex and uniformly smooth Banach space X. We investigate the weak convergence of the generalized Krasnosel'skii-Mann and Ishikawa iteration processes to common fixed points of semigroups of nonlinear mappings Tt: C → C. Each of Tt: is assumed to be pointwise Lipschitzian, that is, there exists a family of functions αt: C → [0, ∞) such that ||Tt(x) — Tt(y)\\ ≤ αt:(x) || - y|| for x,y € C. The paper demonstrates how the weak compactness of C plays an essential role in proving the weak convergence of these processes to common fixed points.