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相关论文: Common fixed point theorems for Hybrid generalized…

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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

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 introduce generalized symmetric Meir-Keeler contractions and prove some coupled fixed point theorems for mixed monotone operators $F:X \times X \rightarrow X$ in partially ordered metric spaces. The obtained results extend,…

泛函分析 · 数学 2011-03-29 Vasile Berinde

The main purpose of this work is to extend the properties of multivalued transformations to the integral type transformations and to obtain the existence of fixed points under F-contraction. In addition, the results of this study were…

综合数学 · 数学 2020-02-04 Derya Sekman , Vatan Karakaya

In this article we discuss a possibility to implement a well-known scheme of proof for contraction mapping theorems in a situation, when convergence, families of Cauchy sequences, and contractiveness of mappings are defined axiomatically.…

泛函分析 · 数学 2023-07-13 Vladyslav Babenko , Vira Babenko , Oleg Kovalenko

The aim of this paper is to present some fixed point theorems for generalized contractions by altering distance functions in a complete cone metric spaces endowed with a partial order. We also generalize fixed point theorems of J. Harjani,…

泛函分析 · 数学 2012-05-31 Mehdi Asadi , Hossein Soleimani

In this present article, we get sufficient conditions for the existence and uniqueness of fixed points and common fixed points for single and double mapping satisfying various contractive conditions within the partially ordered…

综合数学 · 数学 2017-05-29 Meltem Kaya , Hasan Furkan

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 applicability of classical Banach contraction mapping principle in solving diverse problems caught the attention of several researchers in various fields of science and engineering. Since its introduction, many extensions and…

泛函分析 · 数学 2025-06-24 Arsalan Hojjat Ansari , Olaoluwa Jeremiah Omidire

In this paper, we introduce the concept of mixed (G, S)-monotone mappings and prove coupled coincidence and coupled common fixed point theorems for such mappings satisfying a nonlinear contraction involving altering distance functions.…

一般拓扑 · 数学 2011-05-17 Habib Yazidi

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

We extend the fixed point result for Path-Averaged Contractions (PA-contractions) from complete metric spaces to complete b-metric spaces. We prove that every PA-contraction on a complete b-metric space has a unique fixed point, provided…

泛函分析 · 数学 2025-12-25 Nicola Fabiano

In this paper, we establish some common fixed point results for a new class of pair of contractions mappings having functions as contractive parameters, and satisfying certain commutative properties.

泛函分析 · 数学 2015-02-17 J. R. Morales , E. M. Rojas

Motivated by Gopal and Vetro [Iranian Journal of Fuzzy Systems, 11(3), 95-107], we introduce a symmetric pair of $\beta$-admissible mappings and obtain common fixed point theorems for such a pair in complete and weak $G$-complete fuzzy…

一般拓扑 · 数学 2024-04-04 Sugata Adhya , A. Deb Ray

In this paper, we propose two novel parallel hybrid methods for finding a common element of the set of solutions of a finite family of generalized equilibrium problems for monotone bifunctions $\left\{f_i\right\}_{i=1}^N$ and $\alpha$ -…

最优化与控制 · 数学 2016-01-12 Dang Van Hieu

The aim of this paper is to prove the existence of common fixed points for a pair of weakly compatible selfmaps satisfying weakly contractive condition and property (E. A). In this context, first we modify Beg and Abbas theorem (\cite{Beg},…

泛函分析 · 数学 2025-08-05 G. V. R. Babu , Alemayehu G. Negash

In this paper we establish some common fixed point theorem for a new class of pair of contractions mappings, called $\psi-(\alpha,\beta, m)$-contraction pairs, which we will assume occasionally weakly compatible and satisfying the property…

泛函分析 · 数学 2013-07-17 J. R. Morales , E. M. Rojas

We prove a generalized contraction principle with control function in complete partial metric spaces. The contractive type condition used allows the appearance of self distance terms. The obtained result generalizes some previously obtained…

一般拓扑 · 数学 2016-09-20 Thabet Abdeljawad , Younis Zaidan , Naseer Shahzad

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, we state and prove a generalization of \'Ciri\'c fixed point theorems in metric space by using a new generalized quasi-contractive map. These theorems extend other well known fundamental metrical fixed point theorems in the…

一般拓扑 · 数学 2014-03-19 Nguyen Van Dung , Poom Kumam , Kanokwan Sitthithakerngkiet