[PDF] Top 20 The mean ergodic theorem for nonexpansive mappings in multi Banach spaces

... a multi-normed space was introduced by Dales and Polyakov in ...operator spaces and Banach lattices. Observations on multi-normed spaces and examples are given in ... See full document

... of multi-normed space was introduced by Dales and Polyakov in ...operator spaces and Banach lattices. Motivations for the study of multi-normed spaces and many examples are given in ... See full document

... Theorem . (Kirk and Massa []) Let K be a nonempty, bounded, closed, and convex subset of a Banach space E and T : K → CC(K) a multi-valued nonexpansive mapping. Suppose that the asymptotic ... See full document

... The aim of this paper is to introduce an iterative process for approximating a common fixed point of an infinite family of multi-valued mappings satisfying the condition (C). Under suitable conditions some ... See full document

... Let G be a semitopological semigroup, i.e., G is a semigroup with a Hausdorff topology such that for each t ∈ G, the mappings s → st and s → ts from G to G are continuous. G is called right reversible if any two ... See full document

... convex Banach space which admits a weakly sequen- tially continuous duality mapping J from E to E ∗ and C a nonempty closed convex subset of ...sunny nonexpansive retract of E. Let P be the sunny ... See full document

... It is to be noted that Song and Wang [7] need the condition Tp = {p} in order to prove their Theorem 1. Actually, Panyanak [6] proved some results using Ishikawa type iteration process without this condition. Song ... See full document

... reflexive Banach space and let f : X → (–∞, +∞] be a strongly coercive Legendre function which is bounded, uniformly Fréchet differentiable and totally convex on bounded subsets of ...strongly nonexpansive ... See full document

... istence of such a retraction for an amenable semigroup of nonexpansive mappings on a Hilbert space. In [], Rodé also found a sequence of means on a semigroup generalizing the Cesàro means and extended ... See full document

... Hahn-Banach theorem, it is immediately clear that Jx / φ for each x ∈ ...A Banach space E is said to be smooth if the duality mapping J is single ... See full document

... reflexive Banach space and let g : E → R be a convex, continuous, strongly coercive and Gâteaux differentiable function which is bounded on bounded subsets and uniformly convex on bounded subsets of ... See full document

... a Banach space and C a nonempty weakly compact convex subset of ...asymptotically nonexpansive self-mapping of C satisfies the ...asymptotically nonexpansive self-mappings of C, the common ... See full document

... Let E be a real Banach space with the dual space E ∗ and let C be a nonempty closed convex subset of E. We denote by R + and R the set of all nonnegative real numbers and the set of all real numbers, respectively. ... See full document

... In this paper, first, we introduce the condition (BP) which is weaker than the completely continuous mapping in Banach spaces. Second, we consider a simple iteration and prove some strong convergence ... See full document

... Motivated by the works of Suzuki [], Aoyama and Kohsaka [], Bin Dehaish and Khamsi [], Song et al. [, ] and others, we obtain some existence and convergence results in ordered Banach spaces for a ... See full document

... in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ...convergence theorem for relatively nonexpansive ... See full document

... The aim of the present note is generalize the above class of mappings (1.6)-(1.7) and prove a couple of fixed point theorems under generalized contraction condition with a different method which in turn generalize ... See full document

... Let T be a self-mapping of K . The mapping T is called nonexpansive if kT x − T yk 6 kx − yk for all x, y ∈ K. We denote by F (T ) the fixed points set of T , i.e., F (T ) = {x ∈ K : T x = x}. T is called ... See full document

... convergence theorem. Theorem 2.2. Let E be a real uniformly convex Banach space, let K be a nonempty closed convex subset of E, let T : K → K be a nonexpansive mapping with nonempty fixed ... See full document

... nonexpansive mappings include properly the class of nonexpansive mappings in locally convex spaces, prove a theorem on the existence of fixed points, and the convergence of the sequence [r] ... See full document