[PDF] Top 20 Diophantine approximation in Banach spaces
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Diophantine approximation in Banach spaces
... is finite. In the above, Examples 1.11 and 1.12 are cobounded, whereas Example 1.9 is not cobounded. 1.3.1. Prevalence. It is not clear what measure would be natural on an infinite-dimensional Banach space. In ... See full document
17
Approximation of fixed point for multi-valued nonexpansive mapping in Banach spaces
... the approximation of fixed point for multi-valued nonexpansive mappings through a new itera- tive process which is independent and faster than the iterative schemes discussed by Khan and Yildirim [7], Panyank ... See full document
13
Approximating Common Fixed Points of Lipschitzian Semigroup in Smooth Banach Spaces
... Takahashi, “Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications , vol.. Takahashi, No[r] ... See full document
17
A New Iteration Process for Approximation of Common Fixed Points for Finite Families of Total Asymptotically Nonexpansive Mappings
... in Banach spaces without assuming any of the following conditions: i E satisfies the Opial’s condition; ii T is asymptotically regular or weakly asymptotically regular; iii K is ... See full document
17
Mann Type Implicit Iteration Approximation for Multivalued Mappings in Banach Spaces
... Theorem 1.3 see Kirk and Massa 4 . Let K be a nonempty closed bounded convex subset of a Banach space E and T : K → CKE a multivalued nonexpansive mapping. Suppose that the asymptotic center in E of each bounded ... See full document
8
Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces
... Recently, Zhou and Jia [5] proved the following result: let E be a real Banach space with a uniformly convex dual E ∗ , and let K be a nonempty closed convex and bounded subset of E. Assume that T : K → K is a ... See full document
6
Iterative approximation of a solution of a general variational like inclusion in Banach spaces
... Theorem 4.1 . Let E be a real Banach space and let η : E × E → E be δ -strongly ac- cretive and τ -Lipschitz continuous. Let S,T : E → CB (E) , and G : E → E be σ - H -Lipschitz continuous, k - H -Lipschitz ... See full document
10
Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces
... reflexive Banach space and give an example to illustrate the existence of weak Bregman relatively nonexpansive mapping and the difference between weak Bregman relatively nonexpansive mapping and Bregman relatively ... See full document
24
Approximation Methods for Common Fixed Points of Mean Nonexpansive Mapping in Banach Spaces
... Chen, “Iterative approximation to common fixed points of nonexpansive mapping se- quences in reflexive Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications , vol. Khan,[r] ... See full document
7
New Iterative Approximation Methods for a Countable Family of Nonexpansive Mappings in Banach Spaces
... iterative approximation methods for finding a common fixed point of a countable family of nonexpansive ...reflexive Banach spaces which admit a weakly continuous duality ... See full document
24
Hybrid viscosity approximation methods for general systems of variational inequalities in Banach spaces
... Let X be a uniformly convex and 2-uniformly smooth Banach space. In this paper, we propose an implicit iterative method and an explicit iterative method for solving a general system of variational inequalities (in ... See full document
22
Remotest Points and Best Proximity Points in Metric Spaces
... The problem of characterizing remotest sets has applications in the study of approximation theory and geometry of Banach spaces, see [5, 6, 13].. On the other hand, the study of existenc[r] ... See full document
6
Approximation of Solutions to a System of Variational Inclusions in Banach Spaces
... Proposition 1.3. Let E be a uniformly smooth Banach space and T : C → C a nonexpansive mapping with a fixed point. For each fixed u ∈ C and every t ∈ 0, 1, the unique fixed point x t ∈ C of the contraction C x → ... See full document
16
Approximation in reflexive Banach spaces and applications to the invariant subspace problem
... reflexive Banach spaces, we obtain sufficient conditions for the existence of hyperinvariant subspaces for some operators that are not necessarily compact nor quasinilpotent, as shown by explicit ... See full document
14
Diophantine approximation and coloring
... To obtain a more interesting application, we will extend the idea behind Lemma 3 to a slightly more abstract setting, namely, that of groups acting isometrically on metric spaces. For a left action of a group G on ... See full document
17
Best ∞-simultaneous approximation in Banach lattice function spaces
... the relation between the best simultaneous proximinality of Y the closed subspace of X and the best simultaneous proximinality of E (Y ) in E (X ). This characterization can be considered as a generalization of some ... See full document
11
Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces
... Remark 1.14. In some sense, it is not surprising that a point in the radial limit set should be able to be approximated well, since by definition a radial limit point already has a sequence of something resembling “good ... See full document
100
Implicit iteration scheme for two phi hemicontractive operators in arbitrary Banach spaces
... The purpose of this paper is to characterize conditions for the convergence of the im- plicit Ishikawa iterative scheme with errors in the sense of Agarwal et al. [] to a common fixed point of two φ -hemicontractive ... See full document
9
Stability of the Ishikawa iteration scheme with errors for two strictly hemicontractive operators in Banach spaces
... Let K be a nonempty subset of an arbitrary Banach space E and E ∗ be its dual space. The symbols D(T ), R(T ) and F(T ) stand for the domain, the range and the set of fixed points of T respectively (for a ... See full document
14
Convergence theorems of solutions of a generalized variational inequality
... Remark 2.5. In this paper, the generalized variational inequality (1.2), which includes the classical variational inequality (1.4) as a special case, is considered based on itera- tive methods. Strong convergence ... See full document
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