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相关论文: Common fixed point theorems in C*-algebra-valued b…

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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

Based on the concept and properties of $C^{*}$-algebras, the paper introduces a concept of $C_{*}$-class functions. Then by using these functions in $C^{*}$-algebra- valued modular metric spaces of moeini et al. [14], some common fixed…

泛函分析 · 数学 2017-08-07 Bahman Moeini , Arsalan Hojat Ansari

In this paper, we prove some common coupled fixed point theorems for mappings satisfying different contractive conditions in the context of complete $C^*$-algebra-valued metric spaces. Moreover, the paper provides an application to prove…

算子代数 · 数学 2020-10-06 Tianqing Cao , Qiaoling Xin

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

In the present article, we first examine the conception of C*-algebra-valued controlled Fc-metric type spaces as a generalization of F-cone metric spaces over banach algebra. Further, we prove some fixed point theorem with different…

综合数学 · 数学 2019-10-02 G. Kalpana , Z. Sumaiya Tasneem

We obtain a fundamental inequality for a contraction with respect to a $C^*$-algebra valued metric space. As an application of this inequality a simple proof is given for the fixed point theorem in $C^*$-algebra valued metric space.

泛函分析 · 数学 2017-08-15 Harsh Trivedi

In this work, we introduce the concept of $C^{*}$-algebra valued asymetric metric space, the concept of forward and the concept of backward $C^{*}$ valued asymetric contractions. We discuss the existence and uniqueness of fixed points for a…

算子代数 · 数学 2021-06-22 Ouafaa Bouftouh

In this present article, we etablish some existence results of $\varphi-$fixed point of a mapping in a $C^{\ast}$-algebra valued metric spaces and we deduce some fixed point theorems in $C^{\ast}$-algebra valued partial metric spaces.…

算子代数 · 数学 2022-04-20 Hafida Massit , Mohamed Rossafi

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

In this paper, we discuss the existence of fixed points for integral type contractions in uniform spaces endowed with both a graph and an $E$-distance. We also give two sufficient conditions under which the fixed point is unique. Our main…

一般拓扑 · 数学 2013-06-03 Aris Aghanians , Kourosh Nourouzi

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

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

度量几何 · 数学 2023-12-08 B. Mohebbi Najmabadi , T. L. Shateri

The fixed-point theory and its applications to various areas of science are well known. In this paper we present some existence and uniqueness theorems for fixed circles of self-mappings on metric spaces with geometric interpretation. We…

度量几何 · 数学 2025-06-03 Nihal Yilmaz Özgür , Nihal Taş

In this paper, we establish some fixed point theorems in ordered partial metric spaces. An example is given to illustrate our obtained results.

一般拓扑 · 数学 2016-10-05 Hassen Aydi

To a directed graph $E$ is associated a $C^*$-algebra $C^* (E)$ called a graph $C^*$-algebra. There is a canonical action $\gamma$ of ${\bf T}$ on $C^* (E)$, called the gauge action. In this paper we present necessary and sufficient…

算子代数 · 数学 2007-05-23 David Pask , Seung-Jai Rho

In this article, we demonstrate the common fixed point theorems for three transformations on vector S-metric space by utilizing weakly compatible and point of coincidence. Moreover, some of our results generalize the existing results in the…

综合数学 · 数学 2023-06-09 Pooja Yadav , Mamta Kamra

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

一般拓扑 · 数学 2017-02-28 Yaé Olatoundji Gaba

A general fixed point theorem for isometries in terms of metric functionals is proved under the assumption of the existence of a conical bicombing. It is new even for isometries of Banach spaces as well as for non-locally compact…

泛函分析 · 数学 2023-01-19 Anders Karlsson

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 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
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