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In this paper, we equip a C*-algebra-valued b-metric spaces with a graph G = (V,E) and establish some common fixed point theorems. Also, some examples in support of our main results are provided. Finally, as applications, existence and…

泛函分析 · 数学 2017-08-01 Bahman Moeini , Arsalan Hojat Ansari

In this paper, we study some new fixed point results for self maps defined on partial metric type spaces. In particular, we give common fixed point theorems in the same setting. Some examples are given which illustrate the results.

一般拓扑 · 数学 2018-09-12 Yaé Ulrich Gaba

In this work, we establish some coincidence point results for self-mappings satisfying rational type contractions in generalized metric spaces in the sense of Branciari [7]. Presented coincidence point theorems weak and extend numerous…

泛函分析 · 数学 2016-03-30 Ahmed H. Solimana , Tamer Nabil

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…

度量几何 · 数学 2025-06-09 Nihal Özgür , Nihal Taş

In this article we studied the relationship between metric spaces and multiplicative metric spaces. Also, we pointed out some fixed and common fixed point results under some contractive conditions in multiplicative metric spaces can be…

一般拓扑 · 数学 2015-12-14 K. Abodayeh , A. Pitea , W. Shatanawi , T. Abdeljawad

In this paper we obtain some existence result of solution for general variational inequalities. As applications several coincidence and fixed point results are provided.

泛函分析 · 数学 2014-03-21 Alireza Amini-Harandi , Szilárd László

In this paper, we shall show that some coincidence point and common fixed point results for three or four mappings could easily be obtained from the corresponding fixed point results for two mappings.

泛函分析 · 数学 2013-02-18 Cristina Di Bari , Pasquale Vetro

In this paper, we give common coincidence point and common fixed point theorems for four self maps in the setting of generalized TAC-contraction in partial b-metric space. Also, we give an example to authenticate the viability of the…

一般拓扑 · 数学 2023-10-20 Anuradha Gupta , Rahul Mansotra

The objective of this manuscript is to introduce and develop the concept of a generalized $\theta$-parametric metric space-a novel extension that enriches the modern metric fixed point theory. We study of its fundamental properties,…

最优化与控制 · 数学 2025-10-02 Abhishikta Das , Hemanta Kalita , Mohammad Sajid , T. Bag

Fixed point results with respect to generalized rational contractive mappings in semi-metric spaces endowed with a directed graph are proved. Some examples are provided to illustrate the results. The obtained results extend, improve and…

一般拓扑 · 数学 2023-08-04 Talat Nazir , Zakaria Ali , Shahin Nosrat Jogan , Sergei Silvestrov

In this article, we derive a common fixed point result for a pair of single valued and set-valued mappings on a metric space having graphical structure. In this case, the set-valued map is assumed to be closed valued instead of closed and…

泛函分析 · 数学 2023-01-24 Pallab Maiti , Asrifa Sultana

A new, simple and unified approach in the theory of contractive mappings was recently given by Samet \emph{et al.} (Nonlinear Anal. 75, 2012, 2154-2165) by using the concepts of $\alpha$-$\psi$-contractive type mappings and…

泛函分析 · 数学 2013-06-18 Priya Shahi , Jatinderdeep Kaur , S. S. Bhatia

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

In this article, we investigate some fixed point results satisfying a new generalized $\Delta$-implicit contractive condition in ordered complete multiplicative $\mathbf{G}_\mathcal{M}-$metric space. Also, some new definitions and fixed…

泛函分析 · 数学 2022-06-14 Mohamed Gamal , Fu-Gui Shi

Using the setting of $G$-metric spaces, common fixed point theorems for four maps satisfying the weakly commuting conditions are obtained for various generalized contractive conditions. Several examples are also presented to show the…

一般拓扑 · 数学 2023-07-24 Talat Nazir , Sergei Silvestrov

In this paper, we consider fixed-circle problem in C*-algebra valued metric spaces and prove some fixed-circle theorems for self-mappings by defining the notion of fixed-circle on such spaces with geometric interpretation. Furthermore, we…

泛函分析 · 数学 2021-04-08 Nilay Değirmen

The aim of this paper is to introduce the notion of a Suzuki-Gerghaty type contractive mapping via simulation function along with $\mathcal{C}$-class functions and prove the existence of fixed point result. An example is given to show the…

泛函分析 · 数学 2018-10-24 Abdullah Eqal Al-Mazrooei , Azhar Hussain , Muhammad Ishfaq , Jamshaid Ahmad

In this paper, we prove coincidence and common fixed points results under nonlinear contractions on a metric space equipped with an arbitrary binary relation. Our results extend, generalize, modify and unify several known results especially…

综合数学 · 数学 2017-05-09 Md Ahmadullah , Mohammad Imdad , Mohammad Arif

In this paper, we propose a generalized notion of a distance function, called a $g$-metric. The $g$-metric with degree $n$ is a distance of $n+1$ points, generalizing the ordinary distance between two points and $G$-metric between three…

一般拓扑 · 数学 2024-11-12 Hayoung Choi , Sejong Kim , Seung Yeop Yang

Generalized (rational) graph contractions in the framework of a dislocated metric space endowed with a directed graph are investigated. Fixed point results for set-contractions are obtained. We also provide some examples to illustrate our…

组合数学 · 数学 2023-08-09 Talat Nazir , Zakaria Ali , Shahin Nosrat Jogan , Sergei Silvestrov