Results 71 to 80 of about 722 (183)
Function spaces for decoupling
Abstract We introduce new function spaces LW,sq,p(Rn)$\mathcal {L}_{W,s}^{q,p}(\mathbb {R}^{n})$ that yield a natural reformulation of the ℓqLp$\ell ^{q}L^{p}$ decoupling inequalities for the sphere and the light cone. These spaces are invariant under the Euclidean half‐wave propagators, but not under all Fourier integral operators unless p=q$p=q$, in ...
Andrew Hassell +3 more
wiley +1 more source
Let E be a uniformly convex Banach space and C a nonempty closed bounded convex subset of E. Let Γ : C ⟶ C and G : C ⟶ C be enriched strictly pseudocontractive mapping and Φ Γ -enriched Lipschitzian mapping respectively.
Imo Kalu Agwu +2 more
doaj +1 more source
Let C be a nonempty closed and convex subset of a uniformly smooth and 2-uniformly convex real Banach space E with dual space E∗ $E^{*}$. In this paper, a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to ...
C. E. Chidume, M. O. Nnakwe
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Weak convergence theorem for Passty type asymptotically nonexpansive mappings
In this paper, we prove a convergence theorem for Passty type asymptotically nonexpansive mappings in a uniformly convex Banach space with Fréchet-differentiable norm.
B. K. Sharma, B. S. Thakur, Y. J. Cho
doaj +1 more source
A uniformly convex Banach space with a Schauder basis which is subsymmetric but not symmetric [PDF]
An example of a uniformly convex Banach space with a basis ( x i
openaire +1 more source
Approximating fixed points of nonexpansive type mappings
In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for nonexpansive type mappings under certain conditions.
Hemant K. Pathak, Mohammad S. Khan
doaj +1 more source
We introduce hybrid-iterative schemes for solving a system of the zero-finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. We then prove, in a uniformly smooth and
Kamonrat Nammanee +2 more
doaj +1 more source
Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces
Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T:C→C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover,
Somyot Plubtieng, Rabian Wangkeeree
doaj +1 more source
In this paper, we investigate and analyze a proximal point algorithm via viscosity approximation method with error. This algorithm is introduced for finding a common zero point for a countable family of inverse strongly accretive operators and a ...
Khanittha Promluang +2 more
doaj +1 more source
Common Fixed Points of Three Multivalued Nonexpansive Random Operators For One Step Iterative Scheme
In this paper, we introduce a new one-step iteration process in Banach space and prove the existence of a common random fixed point of three non-expansive multivalued random operators through strong and weak convergences of an iterative process.
Sabah Hassan Malih +2 more
doaj +1 more source

