نتایج جستجو برای: uniformly gateaux differentiable norm
تعداد نتایج: 83779 فیلتر نتایج به سال:
Some algorithms for nding common xed point of a family of mappings isconstructed. Indeed, let C be a nonempty closed convex subset of a uniformlyconvex Banach space X whose norm is Gateaux dierentiable and let {Tn} bea family of self-mappings on C such that the set of all common fixed pointsof {Tn} is nonempty. We construct a sequence {xn} generated by the hybridmethod and also we give the cond...
We introduce composite implicit and explicit iterative algorithms for solving a general system of variational inequalities and a common fixed point problem of an infinite family of nonexpansive mappings in a real smooth and uniformly convex Banach space.These composite iterative algorithms are based on Korpelevich’s extragradient method and viscosity approximation method. We first consider and ...
We prove that the weak dual greedy algorithm converges in any subspace of a quotient of Lp when 1opoN: r 2003 Elsevier Inc. All rights reserved. A subset D of a (real) Banach space X is called a dictionary if (i) D is normalized i.e. if gAD implies jjgjj 1⁄4 1: (ii) D is symmetric i.e. D 1⁄4 D: (iii) D is fundamental i.e. 1⁄2D 1⁄4 X : Given xAX we are interested in algorithms which generate a s...
and Applied Analysis 3 Very recently, Qin et al. 16 proposed the composite Halpern type iterative scheme in a uniformly smooth Banach space as follows: x0 x, u ∈ C, zn γnxn ( 1 − γn ) Txn, yn βnxn ( 1 − βn ) Tzn, xn 1 αnu 1 − αn yn, n ≥ 0, 1.6 and showed strong convergence of the sequence {xn} generated by 1.6 under the following control conditions: i ∑∞ n 0αn ∞; ii limn→∞αn 0, limn→∞βn 0 and 0...
A. The von Mises Expansion Before diving into the auxiliary results of Section 5, let us first derive some properties of the von Mises expansion. It is a simple calculation to verify that the Gateaux derivative is simply the functional derivative of in the event that T (F ) = R (f). Lemma 8. Let T (F ) = R (f)dμ where f = dF/dμ is the Radon-Nikodym derivative, is differentiable and let G be som...
Let Cb(K) be the set of all bounded continuous (real or complex) functions on a complete metric space K and A a closed subspace of Cb(K). Using the variational method, it is shown that the set of all strong peak functions in A is dense if and only if the set of all strong peak points is a norming subset of A. As a corollary we show that if X is a locally uniformly convex, complex Banach space, ...
Let E be a real reflexive and strictly convex Banach space with a uniformly Gâteaux differentiable norm. Let J {T t : t ≥ 0} be a family of uniformly asymptotically regular generalized asymptotically nonexpansive semigroup of E, with functions u, v : 0,∞ → 0,∞ . Let F : F J ∩t≥0F T t / ∅ and f : K → K be a weakly contractive map. For some positive real numbers λ and δ satisfying δ λ > 1, let G ...
Let C be a nonempty closed convex subset of a uniformly convex Banach space E with a Fr6chet differentiable norm, G a right reversible semitopological semigroup, and S {S(t) :t E G} a continuous representation of G as mappings of asymptotically nonexpansive type of C into itself The weak convergence of an almost-orbit {u(t) :t E G} of S {S(t) :t 6 G} on C is established. Furthermore, it is show...
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