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A generalized version of both rectangular metric spaces and rectangular quasi-metric spaces is known as rectangular quasi b-metric spaces (RQB-MS). In the current work, we define generalized $( \theta,\phi) $-contraction mappings and study…

度量几何 · 数学 2024-07-12 Mohamed Rossafi , Abdelkarim Kari

We introduce a novel class of self-mappings on metric spaces, called \textbf{PA-contractions} (Path-Averaged Contractions), defined by an averaging condition over iterated distances. We prove that every continuous PA-contraction on a…

泛函分析 · 数学 2025-10-03 Nicola Fabiano

In this paper, we study the existence of fixed points for mappings defined on complete (compact) metric space (X, d) satisfying a general contractive (contraction) inequality depended on another function. These conditions are analogous to…

泛函分析 · 数学 2009-03-10 A. Beiranvand , S. Moradi , M. Omid , H. Pazandeh

In this paper, we present some fixed point results for generalized $\theta -\phi -$contraction in the framework of $\left( \alpha ,\eta \right)-$compete rectangular $b-$metric spaces. Further, we establish some fixed point theorems for this…

综合数学 · 数学 2020-07-15 Abdelkrim Kari , Mohamed Rossafi , El Miloudi Marhrani , Mohamed Aamri

In this paper, we extend a fixed point theorem due to Ciric to a cone metric space.

一般拓扑 · 数学 2010-05-19 Bessem Samet

In this paper we present some fixed-figure theorems as a geometric approach to the fixed-point theory when the number of fixed points of a self-mapping is more than one. To do this, we modify the Jleli-Samet type contraction and define new…

度量几何 · 数学 2021-08-19 Hülya Atyimur , Nihal Taş

This paper investigates asymptotic fixed point results for nonlinear contractions, with emphasis on Kirk-type theorems and their generalizations. A central difficulty in the literature has been the requirement that the mapping possesses a…

泛函分析 · 数学 2025-07-09 Hassan Khandani

This paper is devoted to prove the S. L. Singh's common fixed point Theorem for commuting mappings in cone metric spaces. In this framework, we introduce the notions of Generalized Kannan Con- traction, Generalized Zamfirescu Contraction…

泛函分析 · 数学 2013-07-17 José R. Morales , Edixon Rojas

In this paper we indicate a way to generalize a series of fixed point results in the framework of b-metric spaces and we exemplify it by extending Nadler's contraction principle for set-valued functions (see Multi-valued contraction…

经典分析与常微分方程 · 数学 2015-12-15 Radu Miculescu , Alexandru Mihail

In the present paper, a new type of mappings called perimetric contractions on $k$-polygons is introduced. These contractions can be viewed as a generalization of mappings that contracts perimeters of triangles. A fixed point theorem for…

一般拓扑 · 数学 2024-10-29 Mi Zhou , Evgeniy Petrov

In this paper, we establish coincidence fixed point and common fixed point theorems for two mapping in complete $C^*$-algebra-valued metric spaces which satisfy new contractive conditions. Some applications of our obtained results are…

泛函分析 · 数学 2015-07-01 Xin Qiaoling , Jiang Lining , Ma Zhenhua

In this paper, we obtain coupled fixed point theorem for (\psi, \phi)-contractions under some generalized conditions on the real valued functions \psi and \phi defined on (0,\infinity). Also, we present a generalized version of coupled…

泛函分析 · 数学 2026-02-05 Athul P , D. Ramesh Kumar

The fixed point results for generalized Pre\v{s}i\'c type mappings in the setup of $b$-metric spaces are obtained. The stability of fixed point set of Pre\v{s}i\'c type mappings is also established. Several examples are also presented to…

一般拓扑 · 数学 2023-07-26 Talat Nazir , Sergei Silvestrov

In this paper, considering a wider class of simulation functions some fixed point results for multivalued mappings in $\alpha$-complete metric spaces have been presented. Results obtained in this paper extend and generalize some well-known…

综合数学 · 数学 2018-01-17 Deepesh Kumar Patel

In this note, we discuss some fixed point theorems for contractive self mappings defined on a $G$-metric spaces. More precisely, we give fised point theorems for mappings with a contractive iterate at a point.

一般拓扑 · 数学 2017-02-24 Yaé Olatoundji Gaba

Definitions of what are called $G$-cyclic $\left( \phi -\psi \right)$-Kannan contraction and $G$-cyclic $\left( \phi -\psi\right)$-Chatterjea contraction are introduced in this paper. We use these new concepts to establish new fixed point…

综合数学 · 数学 2018-03-05 Mohammad Al-Khaleel , Sharifa Al-Sharif

In this paper, we study the existence of fixed points for mappings defined on complete metric space (X, d) satisfying a general contractive inequality of integral type depended on another function. This conditions is analogous of Banach…

泛函分析 · 数学 2009-03-10 S. Moradi , A. Beiranvand

In this research article, we discuss two topics. Firstly, we introduce SCC-Map and $\phi$-contraction type $T$-coupling. By using these two definitions, we generalize $\phi$-contraction type coupling given by H. Aydi et al. [3] to…

泛函分析 · 数学 2017-10-30 Tawseef Rashid , Q. H. Khan

In this paper we consider the generalized anchored configuration spaces on $n$ labeled points on a~graph. These are the spaces of all configurations of $n$ points on a~fixed graph $G$, subject to the condition that at least $q$ vertices in…

代数拓扑 · 数学 2024-01-22 Dmitry N. Kozlov

We introduce a new class of asymptotic contractions that employs two quasi-metrics defined directly in terms of the underlying mapping. The contraction condition compares these two quantities via a sequence of bounding functions that…

泛函分析 · 数学 2026-04-20 Jie Shi