Results 31 to 40 of about 68,923 (86)
Grobman-Hartman theorems for diffeomorphisms of Banach spaces over valued fields [PDF]
, 2012 Consider a local diffeomorphism f of an ultrametric Banach space over an ultrametric field, around a hyperbolic fixed point x. We show that, locally, the system is topologically conjugate to the linearized system.
Helge Glockner
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Lipschitz free p-spaces for 0 < p < 1 [PDF]
Israel Journal of Mathematics, 2018 This paper initiates the study of the structure of a new class of p-Banach spaces, 0
F. Albiac +3 more
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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
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Hyperstability of cubic functional equation in ultrametric spaces
Proyecciones (Antofagasta), 2017 In this paper, we present the hyperstability results of cubic functional equations in ultrametric Banach spaces.
Y. Aribou, M. Almahalebi, S. Kabbaj
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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
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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
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Guarded Language Operators as Contractions in a Length-Based Ultrametric Space
MathematicsWe 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 +3 more
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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 +4 more
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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 +2 more
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