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We present identities for permutations with fixed points. The formulas are based on successive derivations or integrations of the determinant of a particular matrix.

Combinatorics · Mathematics 2025-11-10 Jean-Christophe Pain

In this paper, we give some requirements under which two self-mappings have a common fixed point in $b$-metric-like spaces.

Metric Geometry · Mathematics 2023-12-08 B. Mohebbi Najmabadi , T. L. Shateri

We introduce a new type of mappings in metric spaces which are three-point analogue of the well-known Kannan type mappings and call them generalized Kannan type mappings. It is shown that in general case such mappings are discontinuous but…

General Topology · Mathematics 2025-01-06 Evgeniy Petrov , Ravindra K. Bisht

In this article, we present a new type of fixed point for single valed mapping in a $G$-complete $G$-metric space.

General Topology · Mathematics 2017-02-28 Yaé Olatoundji Gaba

We review how to simulate continuous determinantal point processes (DPPs) and improve the current simulation algorithms in several important special cases as well as detail how certain types of conditional simulation can be carried out.…

Methodology · Statistics 2023-08-23 Frédéric Lavancier , Ege Rubak

The objective of this work is the construction of `Boyd-Wong fixed point theorem' in the setting of generalized parametric metric space and discussion its application on existence criteria of solutions to a second order initial value…

General Mathematics · Mathematics 2024-10-16 Abhishikta Das , Hijaz Ahmad , T. Bag

Modern programmable digital signal processing relies on floating-point numbers for their ease of use. Fixed-point number formats have the potential to save resources and improve execution time, but realising this potential burdens the…

Programming Languages · Computer Science 2024-03-12 Agathe Herrou , Florent de Dinechin , Stéphane Letz , Yann Orlarey , Anastasia Volkova

In this paper, the notion of $\mathbb{C}$-simulation function is introduced and the existence and uniqueness of common fixed points of two self-mappings satisfying contractive conditions in the setting of complex valued metric spaces via…

Functional Analysis · Mathematics 2019-05-10 Anuradha Gupta , Manu Rohilla

We study weak and strong solutions of nonlinear non-compact operator equations in abstract spaces of adapted random points. The main result of the paper is similar to Schauder's fixed-point theorem for compact operators. The illustrative…

Probability · Mathematics 2022-08-02 Arcady Ponosov

We prove fixed point theorems in a space with a distance function that takes values in a partially ordered monoid. On the one hand, such an approach allows one to generalize some fixed point theorems in a broad class of spaces, including…

Functional Analysis · Mathematics 2021-03-26 Vladyslav Babenko , Vira Babenko , Oleg Kovalenko

This paper presents a method for computing a least fixpoint of a system of equations over booleans. The resulting computation can be significantly shorter than the result of iteratively evaluating the entire system until a fixpoint is…

Programming Languages · Computer Science 2007-05-23 Viktor Kuncak , K. Rustan M. Leino

Expectiles are statistical parameters which also provide a class of sublinear risk measures in finance. They are solutions of continuous optimization problems. The corresponding first order condition provides two different fixed point…

Statistics Theory · Mathematics 2025-09-03 Thi Khanh Linh Ha , Andreas Heinrich Hamel , Daniel Kostner

We present a method to determine fixed points in spatiotemporal signals. A 144-dimensioanl simulated signal, similar to a Kueppers-Lortz instability, is analyzed and its fixed points are reconstructed.

Chaotic Dynamics · Physics 2009-10-31 A. Hutt , m. Svensen , F. Kruggel , R. Friedrich

The divisible sandpile starts with i.i.d. random variables ("masses") at the vertices of an infinite, vertex-transitive graph, and redistributes mass by a local toppling rule in an attempt to make all masses at most 1. The process…

Probability · Mathematics 2016-06-29 Lionel Levine , Mathav Murugan , Yuval Peres , Baris Evren Ugurcan

In this paper, we study the existence of the random fixed points under mild continuity assumptions. The main theorems consider the almost lower semicontinuous operators defined on Frechet spaces and also operators having properties weaker…

Probability · Mathematics 2013-12-02 Monica Patriche

Geometric properties of the fixed point set $Fix(f)$ of a self-mapping $f$ on a metric or a generalized metric space is an attractive issue. The set $Fix(f)$ can contain a geometric figure (a circle, an ellipse, etc.) or it can be a…

Metric Geometry · Mathematics 2025-06-09 Nihal Özgür , Nihal Taş

In this paper, by using C-class functions [4] for integral type of Suzuki-type mappings, some fixed point results are established on a metric space that gener- alize the results of Aleomraninejad and Shokouhnia [Adv. Fixed Point Theory, 5…

Functional Analysis · Mathematics 2017-08-01 Arsalan Hojat Ansari , Bahman Moeini , Seyed. M. A. Aleomraninejad

In this article, we study coupled fixed point theorems in newly appeared JS-metric spaces. It is important to note that the class of JS-metric spaces includes standard metric space, dislocated metric space, b-metric space etc. The purpose…

General Mathematics · Mathematics 2016-06-21 Tanusri Senapati , Lakshmi Kanta Dey

Following the definition of perturbed metric space, in this paper, some fixed point theorems are established for $ F $-perturbed mappings in complete perturbed metric spaces and justify the result by counter example. Finally, an application…

Metric Geometry · Mathematics 2026-04-06 Dipti Barman , T. Bag

We establish a fixed-point theorem for the face maps that consist in deleting the $i$th entry of an ordered set. Furthermore, we show that there exists random finite sets of integers that are almost invariant under such deletions.…

Group Theory · Mathematics 2026-04-01 Tom Hutchcroft , Nicolas Monod , Omer Tamuz