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The concept of fixed point plays a crucial role in various fields of applied mathematics. The aim of this paper is to establish the existence of a unique fixed point of some type of functions which satisfy a new contraction principle,…

泛函分析 · 数学 2025-05-27 Sanjay Roy , T. K. Samanta

In this paper, we first discussed multiplicative metric mapping by giving some topological properties of the relevant multiplicative metric space. As an interesting result of our discussions, we observed that the set of positive real…

综合数学 · 数学 2014-10-13 Muttalip Ozavsar , Adem Cengiz Cevikel

A contractive condition is addressed for extended 2-cyclic self-mappings on the union of a finite number of subsets of a metric space which are allowed to have a finite number of successive images in the same subsets of its domain. It is…

泛函分析 · 数学 2012-08-18 M. De La Sen

Let $X$ be a metric space. Recently in~[1] it was considered a new type of mappings $T\colon X\to X$ which can be characterized as mappings contracting perimeters of triangles. These mappings are defined by the condition based on the…

一般拓扑 · 数学 2025-02-28 Christian Bey , Evgeniy Petrov , Ruslan Salimov

This paper discusses a more general contractive condition for a class of extended cyclic self-mappings on the union of a finite number of subsets of a metric space which are allowed to have a finite number of successive images in the same…

泛函分析 · 数学 2012-08-06 M. De la Sen

This article presents a deep investigation of fixed points for multivalued weak contractions in cone metric spaces. We extend Berinde weak contraction principles to the multivalued setting in cone metric spaces, developing existence,…

泛函分析 · 数学 2025-08-13 Elvin Rada

To enumerate 3-manifold triangulations with a given property, one typically begins with a set of potential face pairing graphs (also known as dual 1-skeletons), and then attempts to flesh each graph out into full triangulations using an…

几何拓扑 · 数学 2014-07-25 Benjamin A. Burton , William Pettersson

The paper discusses the conditions for the existence of fixed points of multivalued mappings that are not based on the linear structure of the set. The descriptions for the sets of fixed points for mappings with closed graph in compact…

一般拓扑 · 数学 2016-02-23 Dmitrii Serkov

In this paper, we introduce a new category of mappings within metric spaces, specifically focusing on three-point analogs of the well-established Chatterjea type mappings. We demonstrate that Chatterjea type mappings and their three-point…

一般拓扑 · 数学 2024-03-14 Ravindra K. Bisht , Evgeniy Petrov

In this note, we discuss common fixed point for a family of self mapping defined on a metric type space and satisfying a weakly contractive condition. In our development, we make use of the $\lambda$-sequence approach and also of a certain…

一般拓扑 · 数学 2024-08-06 Collins Amburo Agyingi , Yaé Ulrich Gaba

In the present article, we introduce a unified notion of multi-tupled fixed points and utilize the same to prove some existence and uniqueness unified multi-tupled fixed point theorems for Boyd-Wong type nonlinear contractions satisfying…

泛函分析 · 数学 2016-01-12 Aftab Alam , Mohammad Imdad , Javid Ali

This paper seeks to advance the theory of nonexpansive mappings by introducing and exploring a novel class of nonexpansive type mappings, which we aptly designate as perimetric nonexpansive mappings. We establish that the collection of…

泛函分析 · 数学 2025-08-12 Anish Banerjee , Hiranmoy Garai , Pratikshan Mondal , Lakshmi Kanta Dey

In this paper, we study some new common fixed point results of generalized contractive non-self multi-valued mappings on complete metric space.

泛函分析 · 数学 2013-09-06 Farshid Khojasteh , Vladimir Rakočević

In this paper, by establishing a new characterization of the notion of upper semi-continuity of multi-valued mappings in generalized Banach spaces, we prove some Perov type fixed point theorems for multi-valued mappings with closed graphs.…

泛函分析 · 数学 2024-07-22 Khaled Ben Amara , Aref Jeribi , Najib Kaddachi , Zahra Laouar

We introduce and study a new type of mappings in metric spaces termed $n$-point Kannan-type mappings. A fixed-point theorem is proved for these mappings. In general case such mappings are discontinuous in the domain but necessarily…

一般拓扑 · 数学 2025-04-22 Ravindra K. Bisht , Evgeniy Petrov

In this paper, some results on the existence of n-tuplet fixed points for multi-valued contraction mappings are proved via measure of noncompactness. As an application, the existence of solutions for a system of integral inclusions is…

泛函分析 · 数学 2020-02-04 Derya Sekman , Nour El Houda Bouzara , Vatan Karakaya

In this paper, we prove the existence of a common end point for a pair of multivalued mappings satisfying a new generalized weakly contractive condition in a complete metric space. Our result generalizes and extends many known results.

泛函分析 · 数学 2011-02-09 Ali Abkar , Mohammad Eslamian

We introduce the concept of $\it{ startpoint}$ and $\it{endpoint}$ for multivalued maps defined on a quasi-pseudometric space. We investigate the relation between these new concepts and the existence of fixed points for these set valued…

泛函分析 · 数学 2014-08-25 Yaé Ulrich Gaba

The accumulation point of the period-tripling bifurcation cascade in complex quadratic map was discovered by Golberg, Sinai, and Khanin (Russ.Math.Surv. 38:1, 1983, 187), and independently by Cvitanovic and Myrheim (Phys.Lett. A94:8, 1983,…

混沌动力学 · 物理学 2007-05-23 O. B. Isaeva , S. P. Kuznetsov

In this paper, we study the existence of common fixed points of family of multivalued mappings satisfying generalized F-contractive conditions in ordered metric spaces. These results establish some of the general common fixed point theorems…

综合数学 · 数学 2016-06-17 Talat Nazir , Sergei Silvestrov