نتایج جستجو برای: asymptotically non expansive mapping

تعداد نتایج: 1519347  

Granular Pile Anchor (GPA) considers one of the solution foundation techniques, designed to mitigate the lifting of the sole resulting from expansive soils. This study work is to investigate the uplift movement response of (GPA) in expansive soil. The laboratory tests have been performed on an experimental. The effects of several parameters, such as length (L) of (GPA) and diameter (D), the thi...

1998
Jinane Abounadi Dimitri P. Bertsekas Vivek Borkar

We discuss synchronous and asynchronous variants of fixed point iterations of the form xk+1 = xk + γ(k) ( F (xk, ξk)− xk ) , where F is a non-expansive mapping under a suitable norm, and {ξk} is a stochastic sequence. These are stochastic approximation iterations that can be analyzed using the ODE approach based either on Kushner and Clark’s Lemma for the synchronous case or Borkar’s Theorem fo...

2015
Kyung Soo Kim Bancha Panyanak

*Correspondence: [email protected] Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand Abstract We prove a convergence theorem of the Mann iteration scheme for a uniformly L-Lipschitzian asymptotically demicontractive mapping in a CAT(κ ) space with κ > 0. We also obtain a convergence theorem of the Ishikawa iteration scheme for a uniformly L-Lipsc...

Journal: :Journal of Mathematical Analysis and Applications 2019

2003
DAYA RAM SAHU JONG SOO JUNG

We study convergences of Mann and Ishikawa iteration processes for mappings of asymptotically quasi-nonexpansive type in Banach spaces. 1. Introduction and preliminaries. Let D be a nonempty subset of a real Banach space X and T : D → D a nonlinear mapping. The mapping T is said to be asymptotically quasi-nonexpansive (see [5]) if F(T) = ∅ and there exists a sequence {k n } in [0, ∞) with lim n...

Journal: :international journal of mathematical modelling and computations 0
godwin amechi okeke department of mathematics, university of lagos, nigeria nigeria lecturer,department of mathematics,university of lagos,nigeria. johnson o olaleru department of mathematics, university of lagos, nigeria. nigeria professor of fixed point theory (mathematics)

we study the convergence of the modified noor iterative scheme for the class of asymptotically pseudocontractive mappings in the intermediate sense which is not necessarily lipschitzian. our results improves, extends and unifies the results of schu [23] and qin {it et al.} [25].

Journal: :international journal of nonlinear analysis and applications 2011
g.s. saluja

the purpose of this paper is to study and give the necessary andsufficient condition of strong convergence of the multi-step iterative algorithmwith errors for a finite family of generalized asymptotically quasi-nonexpansivemappings to converge to common fixed points in banach spaces. our resultsextend and improve some recent results in the literature (see, e.g. [2, 3, 5, 6, 7, 8,11, 14, 19]).

Journal: :Bulletin of The Iranian Mathematical Society 2021

In this paper, we define and study generalizations of expansiveness, namely n- $$\aleph _0$$ -expansiveness, continuum-wise expansive meagre expansiveness for non-autonomous discrete dynamical systems. We discuss various properties such systems give necessary examples. prove results related to non-existence -expansive system on certain spaces. also relation between meagre-expansive

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