Results 91 to 100 of about 498,513 (254)
Generalized projections on general Banach spaces [PDF]
arXiv, 2022 In general Banach spaces, the metric projection map lacks the powerful properties it enjoys in Hilbert spaces. There are a few generalized projections that have been proposed in order to resolve many of the deficiencies of the metric projection. However, such notions are predominantly studied in Banach spaces with rich topological structures, such as ...
arxiv
Computational Problems in Metric Fixed Point Theory and their Weihrauch Degrees
, 2015 We study the computational difficulty of the problem of finding fixed points of nonexpansive mappings in uniformly convex Banach spaces. We show that the fixed point sets of computable nonexpansive self-maps of a nonempty, computably weakly closed ...
Neumann, Eike
core +1 more source
On linearization and uniqueness of preduals
Mathematische Nachrichten, Volume 298, Issue 3, Page 955-975, March 2025.Abstract We study strong linearizations and the uniqueness of preduals of locally convex Hausdorff spaces of scalar‐valued functions. Strong linearizations are special preduals. A locally convex Hausdorff space F(Ω)$\mathcal {F}(\Omega)$ of scalar‐valued functions on a nonempty set Ω$\Omega$ is said to admit a strong linearization if there are a ...
Karsten Kruse
wiley +1 more source
A nonlinear characterization of stochastic completeness of graphs
Mathematische Nachrichten, Volume 298, Issue 3, Page 925-943, March 2025.Abstract We study nonlinear Schrödinger operators on graphs. We construct minimal nonnegative solutions to corresponding semilinear elliptic equations and use them to introduce the notion of stochastic completeness at infinity in a nonlinear setting. We provide characterizations for this property in terms of a semilinear Liouville theorem.
Marcel Schmidt, Ian Zimmermann
wiley +1 more source
, 2012 We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping {𝑇𝑖} in a uniformly convex Banach space. We prove that under certain control conditions, the iterative sequence generated by
A. Bunyawat, S. Suantai
semanticscholar +1 more source
Substitutions on compact alphabets
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We develop a systematic approach to continuous substitutions on compact Hausdorff alphabets. Focussing on implications of irreducibility and primitivity, we highlight important features of the topological dynamics of their (generalised) subshifts.
Neil Mañibo, Dan Rust, James J. Walton
wiley +1 more source
Fixed Point Theorem for Monotone Non-Expansive Mappings
International Journal of Analysis and Applications, 2021 In this paper, we study the fixed point theorem for monotone nonexpansive mappings in the setting of a uniformly smooth and uniformly convex smooth Banach space.
Joseph Frank Gordon
doaj
Lipschitz decompositions of domains with bilaterally flat boundaries
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We study classes of domains in Rd+1,d⩾2$\mathbb {R}^{d+1},\ d \geqslant 2$ with sufficiently flat boundaries that admit a decomposition or covering of bounded overlap by Lipschitz graph domains with controlled total surface area. This study is motivated by the following result proved by Peter Jones as a piece of his proof of the Analyst's ...
Jared Krandel
wiley +1 more source
Global second‐order estimates in anisotropic elliptic problems
Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.Abstract This work deals with boundary value problems for second‐order nonlinear elliptic equations in divergence form, which emerge as Euler–Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradient of trial functions.
Carlo Alberto Antonini +4 more
wiley +1 more source
Fixed 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