Results 31 to 40 of about 1,120,571 (76)

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

Guarded Language Operators as Contractions in a Length-Based Ultrametric Space

Mathematics
We study a class of wrapping operators acting on the space of formal languages over a fixed finite alphabet. The underlying space is equipped with a length-based ultrametric, in which two languages are close whenever they coincide on all sufficiently ...
Hristo Hristov, Atanas Ilchev, Hristina Kulina, Boyan Zlatanov   +3 more
doaj   +1 more source

New Common Fixed Point Results in Ultrametric Spaces Utilizing Various Contractions and Their Applications to Integral Equations

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, Balaanandhan Radhakrishnan, Kandhasamy Tamilvanan, Uma Jayaraman, Masho Jima Kabeto, Guotao Wang   +5 more
wiley   +1 more source

Fixed Point Results of Miculescu‐Mihail, Mitrović‐Hussain, and Boyd‐Wong Type in Regular Semimetric Spaces

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, Peng Wang, Fei He, Pramita Mishra   +3 more
wiley   +1 more source

Fixed Point Technique: Stability Analysis of Quadratic Functional Equation in Various Quasi‐Banach Spaces

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, Faruk Özger, S. A. Mohiuddine, Naeem Ahmad, Masho Jima Kabeto, Valerii Obukhovskii   +5 more
wiley   +1 more source

Thermal Applications of Stability Analysis of Cubic Functional Equation in Banach Spaces and Intuitionistic Fuzzy Normed Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper analyzes the stability of the Euler–Lagrange–Jensen cubic functional equation in the context of Banach spaces and Intuitionistic Fuzzy Normed Spaces (IFN‐Spaces). We use both direct and fixed point techniques to establish the generalized Ulam stability of the cubic functional equation under various norm‐based constraints.
Subramani Karthikeyan, Kandhasamy Tamilvanan, John Michael Rassias, Masho Jima Kabeto, Nan-Jing Huang   +4 more
wiley   +1 more source

Related Fixed Point Results for LB3S2‐Type Cyclic Mapping in Extended b‐Metric Spaces With an Application

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The purpose of this paper is to study the fixed point problem of cyclic mapping in the generalized metric spaces. In an extended b‐metric space, we introduce a new cyclic mapping, which is called LB3S2‐type cyclic mapping into this space, a specific example of LB3S2‐type cyclic mapping is shown, and the fixed point theorem for it is established.
Shengquan Weng, Hongying Xiao, Ljubisa Kocinac   +2 more
wiley   +1 more source

On the sheafyness property of spectra of Banach rings

Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract Let R$R$ be a non‐Archimedean Banach ring, satisfying some mild technical hypothesis that we will specify later on. We prove that it is possible to associate to R$R$ a homotopical Huber spectrum Spah(R)${\rm Spa\,}^h(R)$ via the introduction of the notion of derived rational localization.
Federico Bambozzi, Kobi Kremnizer
wiley   +1 more source

Coincidence Point Results for Self‐Mapping With Extended Rational Contraction in Partially Ordered Ultrametric Spaces Using p‐Adic Distance

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper aims to investigate new coincidence point theorems for self‐maps under an extended rational contraction. Our approach uses the p‐adic distance in partially ordered ultrametric spaces. Furthermore, to illustrate our major discoveries, we give a comprehensive numerical analysis.
Balaanandhan Radhakrishnan, Uma Jayaraman, Shreefa O. Hilali, M. Kameswari, Mohammed Alhagyan, Kandhasamy Tamilvanan, Ameni Gargouri, Ömer Kişi   +7 more
wiley   +1 more source