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In this article we discuss a possibility to implement a well-known scheme of proof for contraction mapping theorems in a situation, when convergence, families of Cauchy sequences, and contractiveness of mappings are defined axiomatically.…

泛函分析 · 数学 2023-07-13 Vladyslav Babenko , Vira Babenko , Oleg Kovalenko

In this paper, inspired by the concept of generalized weakly contractive mappings in metric spaces, we introduce C-Class function and fixed point theory for weakly contractive in the setting of rectangular $b$-metric spaces and established…

一般拓扑 · 数学 2023-05-23 Mohamed Rossafi , Abdelkarim Kari , Arsalan Hojjat Ansari

We explain how to find the asymptotic form of fixed point solutions in functional truncations, in particular $f(R)$ approximations. We find that quantum fluctuations do not decouple at large $R$, typically leading to elaborate asymptotic…

高能物理 - 理论 · 物理学 2017-06-07 Sergio Gonzalez-Martin , Tim R. Morris , Zoë H. Slade

We search for weakly interacting fixed points in extensions of the minimally supersymmetric standard model (MSSM). Necessary conditions lead to three distinct classes of anomaly-free extensions involving either new quark singlets, new quark…

高能物理 - 唯象学 · 物理学 2022-11-23 Gudrun Hiller , Daniel F. Litim , Kevin Moch

In the present work we shall show that nonlinear contractive conditions on TVS-cone metric spaces can be reduced to nonlinear contractive conditions on usual metric spaces. Our results extend the results of Du (2010) [W.S. Du, A note on…

泛函分析 · 数学 2012-03-05 Ion Olaru

In this paper, we present a new concept of interpolative contraction mappings in $C^{\ast}$-algebra valued complete metric space and we prove the existence of fixed points and common fixed points for Kannan-Riech type contractions.

泛函分析 · 数学 2024-10-08 Hafida Massit , Mohamed Rossafi , Choonkil Park

We establish fixed point theorems for nonlinear contractions on a metric space (not essentially complete) endowed with an arbitrary binary relation. Our results extend, generalize, modify and unify several known results especially those…

一般拓扑 · 数学 2016-11-15 Md Ahmadullah , Mohammad Imdad , Rqeeb Gubran

In this paper we prove FG-coupled fixed point theorems for different contractive mappings and generalized quasi- contractive mappings in partially ordered complete metric spaces. We prove the existence of FG-coupled fixed points of…

一般拓扑 · 数学 2016-04-12 Deepa Karichery , Shaini Pulickakunnel

A $1$-Lipschitz map $f$ from a convex compact set to itself has fixed points. This consequence of Brouwer's or Schauder's fixed point theorem has more elementary proofs by approximating $f$ by $\lambda$-contractions, $f_\lambda$. We study…

度量几何 · 数学 2019-03-14 Maxime Zavidovique

In this paper we obtain a generalization of Matkowski's fixed point theorem and Istratescu's fixed point theorem concerning convex contractions in the framework of b-metric spaces. By providing appropriate examples we show that the above…

经典分析与常微分方程 · 数学 2015-12-17 Radu Miculescu , Alexandru Mihail

We introduce a large class of mappings, called enriched contractions, which includes, amongst many other contractive type mappings, the Picard-Banach contractions and some nonexpansive mappings. We show that any enriched contraction has a…

泛函分析 · 数学 2019-09-06 Vasile Berinde , Mădălina Păcurar

The first aim of this paper is to examine some important properties of soft metric spaces. Second is to introduce soft continuous mappings and investigate properties of soft continuous mappings. Third is to prove some fixed point theorems…

综合数学 · 数学 2013-08-22 Murat I. Yazar , Cigdem Gunduz , Sadi Bayramov

This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal point delays. The…

动力系统 · 数学 2010-10-18 M. De La Sen

We introduce the concept of $b$-suprametric spaces and establish a fixed point result for mappings satisfying a nonlinear contraction in such spaces. The obtained result generalizes a fixed point theorem of Czerwik and a recent result of…

综合数学 · 数学 2024-10-24 Maher Berzig

A branch of generalizations of the Banach Fixed Point Theorem replaces contractivity by a weaker but still effective property. The aim of the present note is to extend the contraction principle in this spirit for such complete semimetric…

泛函分析 · 数学 2017-06-29 Mihály Bessenyei , Zsolt Páles

In this paper, we introduce the neutrosophic contractive and neutrosophic mapping. We establish some results on fixed points of a neutrosophic mapping.

综合数学 · 数学 2019-10-09 Murat Kirişci , Necip Şimşek , Mahmut Akyiğit

This paper provides a fixed point theorem for asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces as well as new effective results on the Krasnoselski-Mann iterations of such mappings. The latter were found using…

泛函分析 · 数学 2008-03-26 Ulrich Kohlenbach , Laurentiu Leustean

In this paper, we study some features of n-normed spaces with respect to norms of its quotient spaces. We define continuous functions with respect to the norms of its quotient spaces and show that all types of continuity are equivalent. We…

泛函分析 · 数学 2019-04-02 Harmanus Batkunde , Hendra Gunawan

The aim of this paper is to establish some metrical coincidence and common fixed point theorems with an arbitrary relation under an implicit contractive condition which is general enough to cover a multitude of well known contraction…

综合数学 · 数学 2017-01-13 Md Ahmadullah , Mohammad Imdad , Mohammad Arif

Our aim in this paper is to prove some interesting fixed point theorems for the class of asymptotically $T$-regular mappings in the framework of preordered modular G-metric spaces. Our results are novel and generalizes several know results.…

泛函分析 · 数学 2021-04-27 Godwin Amechi Okeke , Daniel Francis