Results 21 to 30 of about 102 (82)
On Infinitesimal L_ω-smooth Functions.
Zanco Journal of Pure and Applied Sciences, 2022 The aim of this paper is to study smoothness, approximate continuity, and approximate derivative in a nonstandard manner with respect to infinitesimal parameters.
Ibrahim O. Hamad
doaj
Hyperstability of cubic functional equation in ultrametric spaces
, 2017 In this paper, we present the hyperstability results of cubic functional equations in ultrametric Banach ...
Almahalebi, Muaadh +2 more
core +1 more source
Boundary representations of locally compact hyperbolic groups
Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley +1 more source
2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness
Fortschritte der Physik, Volume 73, Issue 8, August 2025.Abstract The authors show that a large class of 2‐adic Schrödinger equations is the scaling limit of certain continuous‐time quantum Markov chains (CTQMCs). Practically, a discretization of such an equation gives a CTQMC. As a practical result, new types of continuous‐time quantum walks (CTQWs) on graphs using two symmetric matrices are constructed ...
W. A. Zúñiga‐Galindo
wiley +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.This study explores fixed points and common fixed points for self‐mappings on ultrametric spaces, regardless of the assumption of spherical completeness. By presenting generalized contractive conditions based on the p‐adic contraction, we extend classical fixed point results and illustrate their practical use through meticulously crafted examples.
N. Uthirasamy +5 more
wiley +1 more source
Generating q‐Commutator Identities and the q‐BCH Formula
Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016 Motivated by the physical applications of q‐calculus and of q‐deformations, the aim of this paper is twofold. Firstly, we prove the q‐deformed analogue of the celebrated theorem by Baker, Campbell, and Hausdorff for the product of two exponentials. We deal with the q‐exponential function expq(x)=∑n=0∞(xn/[n] q!), where [n] q = 1 + q + ⋯+qn−1 denotes ...
Andrea Bonfiglioli +2 more
wiley +1 more source
Generalized ultrametric spaces in quantitative domain theory.
, 2006 Domains and metric spaces are two central tools for the study of denotational semantics in computer science, but are otherwise very different in many fundamental aspects. A construction that tries to establish links between both paradigms is the space of
Krötzsch, Markus, Krötzsch, M
core +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.We establish three types of nonlinear fixed point theorems in regular semimetric spaces. First, we generalize Miculescu and Mihail’s result, thereby unifying the Matkowski fixed point theorem and the Istrăţescu fixed point theorem concerning convex contractions within the semimetric framework.
Shu-Min Lu +3 more
wiley +1 more source
A Fixed Point Theorem and the Ulam Stability in Generalized Dq-Metric Spaces
, 2018 KARAPINAR, ERDAL/0000-0002-6798-3254;We prove a fixed point theorem for function spaces, that is a very efficient and convenient tool for the investigations of various operator inequalities connected to Ulam stability issues, in classes of functions ...
Karapinar, Erdal +3 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.In this present work, we derive the solution of a quadratic functional equation and investigate the Ulam stability of this equation in Banach spaces using fixed point and direct techniques. Mainly, we examine the stability results in quasi‐β‐Banach spaces and quasi‐fuzzy β‐Banach spaces by means of direct method as well as quasi‐Banach spaces by means ...
Kandhasamy Tamilvanan +5 more
wiley +1 more source