نتایج جستجو برای: uniformly convex banach space

تعداد نتایج: 578258  

Journal: :international journal of industrial mathematics 2014
a. razani

the notion of a bead metric space is defined as a nice generalization of the uniformly convex normed space such as $cat(0)$ space, where the curvature is bounded from above by zero. in fact, the bead spaces themselves can be considered in particular as natural extensions of convex sets in uniformly convex spaces and normed bead spaces are identical with uniformly convex spaces. in this paper, w...

2005
PIOTR W. NOWAK

We construct a locally finite graph and a bounded geometry metric space which do not admit a quasi-isometric embedding into any uniformly convex Banach space. Connections with the geometry of c0 and superreflexivity are discussed. The question of coarse embeddability into uniformly convex Banach spaces became interesting after the recent work of G. Kasparov and G. Yu, who showed the coarse Novi...

‎The object of this paper is to present a new iteration process‎. ‎We will show that our process is faster than the known recent iterative schemes‎. ‎We discuss stability results of our iteration and prove some results in the context of uniformly convex Banach space for Suzuki generalized nonexpansive mappings‎. ‎We also present a numerical example for proving the rate of convergence of our res...

Journal: :Proceedings of the American Mathematical Society 1988

2000
Y. I. ALBER R. S. BURACHIK A. N. IUSEM

In this paper we show the weak convergence and stability of the proximal point method when applied to the constrained convex optimization problem in uniformly convex and uniformly smooth Banach spaces. In addition, we establish a nonasymptotic estimate of convergence rate of the sequence of functional values for the unconstrained case. This estimate depends on a geometric characteristic of the ...

Journal: :bulletin of the iranian mathematical society 0
k. sitthithakerngkiet nonlinear dynamic analysis research center‎, ‎department of mathematics‎, ‎faculty of applied science‎, ‎king mongkut's university of technology north bangkok (kmutnb)‎, ‎1518‎, ‎pracharat 1 road‎, ‎wongsawang‎, ‎bangsue‎, ‎bangkok‎, ‎10800‎, ‎thailand p. sunthrayuth kmutt-fixed point theory and applications research group (kmutt-fpta)‎, ‎theoretical and computational science center (tacs)‎, ‎science laboratory building‎, ‎faculty of science‎, ‎king mongkuts university of technology thonburi (kmutt)‎, ‎126 pracha uthit road‎, ‎bang mod‎, ‎thung khru‎, ‎bangkok‎, ‎10140‎, ‎thailand. p. kumam department of medical research‎, ‎china medical university hospital‎, ‎china medical university‎, ‎taichung 40402‎, ‎taiwan.

‎the purpose of this paper is to introduce a new mapping for a finite‎ ‎family of accretive operators and introduce an iterative algorithm‎ ‎for finding a common zero of a finite family of accretive operators‎ ‎in a real reflexive strictly convex banach space which has a‎ ‎uniformly g^ateaux differentiable norm and admits the duality‎ ‎mapping $j_{varphi}$‎, ‎where $varphi$ is a gauge function ...

Journal: :iranian journal of science and technology (sciences) 2009
s. h. khan

we introduce a new one-step iteration process to approximate common fixed points of twononexpansive mappings in banach spaces and prove weak convergence of the iterative sequence using (i)opial’s condition and (ii) kadec-klee property. strong convergence theorems are also established in banachspaces and uniformly convex banach spaces under the so-called condition ( a ), which is weaker thancom...

2010
Memudu O. Olatinwo

In this paper, we examine the stability of KirkIshikawa and Kirk-Mann iteration processes for nonexpansive and quasi-nonexpansive operators in uniformly convex Banach space. To the best of our knowledge, apart from the results of Olatinwo [19], stability of fixed point iteration processes has not been investigated in uniformly convex Banach space. Our results generalize, extend and improve some...

2008
JÖRG WENZEL

The concept of uniform convexity of a Banach space was generalized to linear operators between Banach spaces and studied by Beauzamy [1]. Under this generalization, a Banach space X is uniformly convex if and only if its identity map IX is. Pisier showed that uniformly convex Banach spaces have martingale type p for some p > 1. We show that this fact is in general not true for linear operators....

2014
Qingqing Cheng Yongfu Su Jingling Zhang Rudong Chen

and Applied Analysis 3 In this paper, we firstly present the definition of duality fixed point for a mapping T from E into its dual E∗ as follows. Let E be a Banach space with a single-valued generalized duality mapping Jp : E → E∗. Let T : E → E∗. An element x∗ ∈ E is said to be a generalized duality fixed point of T if Tx∗ Jpx∗. An element x∗ ∈ E is said to be a duality fixed point of T if Tx...

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