Results 71 to 80 of about 4,974,492 (203)

Rothe Time Discretization and Weak Solutions for a Cutoff Westervelt System

Numerical Methods for Partial Differential Equations, Volume 42, Issue 5, September 2026.
ABSTRACTWe study a fully implicit Rothe time discretization for a cutoff first‐order formulation of the Westervelt equation. The key ingredients are the enthalpy variable and the primitive mobility variable, which turn each nonlinear time step into a uniformly monotone elliptic problem and avoid higher‐order energy estimates and inverse inequalities ...
Marvin Fritz
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

Applied 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, Naeem Saleem, Umar Isthiaq   +2 more
doaj   +1 more source

Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition

Abstract and Applied Analysis, 2020
We prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings.
Thanomsak Laokul
doaj   +1 more source

Adaptive Estimation for Weakly Dependent Functional Times Series

Journal of Time Series Analysis, Volume 47, Issue 5, Page 1013-1027, September 2026.
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro, Valentin Patilea, Myriam Vimond   +2 more
wiley   +1 more source

Fixed Point Approximation of Nonexpansive Mappings on a Nonlinear Domain

Abstract and Applied Analysis, 2014
We use a three-step iterative process to prove some strong and Δ-convergence results for nonexpansive mappings in a uniformly convex hyperbolic space, a nonlinear domain.
Safeer Hussain Khan
doaj   +1 more source

Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves

Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.
Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena, Jeremy T. Tyson   +1 more
wiley   +1 more source

New Iterative Algorithm for Two Infinite Families of Multivalued Quasi-Nonexpansive Mappings in Uniformly Convex Banach Spaces

Journal of Applied Mathematics, 2013
We introduce a new iterative scheme for finding a common fixed point of two countable families of multivalued quasi-nonexpansive mappings and prove a weak convergence theorem under the suitable control conditions in a uniformly convex Banach space.
Fang Zhang, Huan Zhang, Yulong Zhang
doaj   +1 more source

Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima, Kotaro Hisa, Robert Laister   +2 more
wiley   +1 more source

On Fixed Point Property under Lipschitz and Uniform Embeddings

Journal of Function Spaces, 2018
We first present a generalization of ω⁎-Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has ...
Jichao Zhang, Lingxin Bao, Lili Su
doaj   +1 more source

On Proximal Mappings with Young Functions in Uniformly Convex Banach Spaces

Journal of Convex Analysis, 2018
It is well known in convex analysis that proximal mappings on Hilbert spaces are 1-Lipschitz. In the present paper we show that proximal mappings on uniformly convex Banach spaces are uniformly continuous on bounded sets. Moreover, we introduce a new general proximal mapping whose regularization term is given as a composition of a Young function and ...
Bačák, M., Kohlenbach, U.
openaire   +4 more sources