Results 71 to 80 of about 722 (183)

Function spaces for decoupling

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
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

A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces

open access: yesApplied General Topology
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

Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem

open access: yesFixed Point Theory and Applications, 2018
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
doaj   +1 more source

Weak convergence theorem for Passty type asymptotically nonexpansive mappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
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]

open access: yesProceedings of the American Mathematical Society, 1976
An example of a uniformly convex Banach space with a basis ( x i
openaire   +1 more source

Approximating fixed points of nonexpansive type mappings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
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

Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems

open access: yesJournal of Applied Mathematics, 2012
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

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
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

Proximal Point Algorithm for a Common of Countable Families of Inverse Strongly Accretive Operators and Nonexpansive Mappings with Convergence Analysis

open access: yesMathematical Modelling and Analysis, 2016
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

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences
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

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