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In this paper, we consider a wider class of simulation functions and present some coincidence and common fixed point results in metric spaces. Results obtained in this paper extend, generalize and unify some well-known fixed and common…

泛函分析 · 数学 2017-09-21 D. K. Patel , P. R. Patle , R. Pant , D. Gopal

This paper introduces a new type of simulation function within the framework of $b$-metric spaces, leading to the derivation of fixed-point results in this general setting. We explore the theoretical implications of these results and…

度量几何 · 数学 2025-01-14 Anuradha Gupta , Rahul Mansotra

In this paper, the notion of $\mathbb{C}$-simulation function is introduced and the existence and uniqueness of common fixed points of two self-mappings satisfying contractive conditions in the setting of complex valued metric spaces via…

泛函分析 · 数学 2019-05-10 Anuradha Gupta , Manu Rohilla

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 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 a recent article, Khojasteh et al. introduced a new class of simulation functions, Z-contractions, with blending over known contractive conditions in the literature. Subsequently, in this paper, we extend and generalize the results on…

泛函分析 · 数学 2016-10-04 Ankush Chanda , Lakshmi Kanta Dey

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 study the notion of Gerghaty type contractive mapping via simulation function along with $\mathcal{C}$-class functions and prove the existence of several fixed point results in ordinary and partially ordered metric spaces.…

泛函分析 · 数学 2018-10-26 Azhar Hussain , Muhammad Ishfaq , Tanzeela Kanwal , Stojan Radenović

We present coincidence and common fixed point results of selfmappings satisfying a contraction type in partially ordered metric spaces. As an application, we give an existence theorem for a common solution of integral equations.

一般拓扑 · 数学 2016-11-25 Hassen Aydi

In this paper, our aim is to obtain new fixed-disc results on metric spaces. To do this, we present a new approach using the set of simulation functions and some known fixed-point techniques. We do not need to have some strong conditions…

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

In this article, we use $\lambda$-sequences to derive common fixed points for a family of self-mappings defined on a complete $G$-metric space. We imitate some existing techniques in our proofs and show that the tools emlyed can be used at…

一般拓扑 · 数学 2017-03-27 Yaé Olatoundji Gaba

The main aim of this paper is to study of fixed point theory in partial cone metric spaces. Infact, some common fixed point theorems for two mappings in partial cone metric spaces are obtained.

泛函分析 · 数学 2022-08-16 Tayebe Lal Shateri

In this article, we study coupled fixed point theorems in newly appeared JS-metric spaces. It is important to note that the class of JS-metric spaces includes standard metric space, dislocated metric space, b-metric space etc. The purpose…

综合数学 · 数学 2016-06-21 Tanusri Senapati , Lakshmi Kanta Dey

In this paper, we introduce a new class of implicit function to prove common fixed point theorems in fuzzy metric space. Moreover we define a new altering distance in terms of integral and utilize the same to deduce integral type…

泛函分析 · 数学 2018-07-09 Rachana Soni

The main aim of this paper is to find a unique common fixed point for six functions in a Menger probabilistic generalized metric space. For this purpose, we have defined the compatibility of three functions and established some required…

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

In this paper, by using C-class functions [4] for integral type of Suzuki-type mappings, some fixed point results are established on a metric space that gener- alize the results of Aleomraninejad and Shokouhnia [Adv. Fixed Point Theory, 5…

泛函分析 · 数学 2017-08-01 Arsalan Hojat Ansari , Bahman Moeini , Seyed. M. A. Aleomraninejad

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

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

The aim of this paper is to prove a fixed point theorem on a generalised cone metric spaces for maps satisfying general contractive type conditions.

经典分析与常微分方程 · 数学 2016-10-04 Sudip Kumar Pal , Manojit Maity

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
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