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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

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

We introduce and study a new type of mappings in metric spaces termed $n$-point Kannan-type mappings. A fixed-point theorem is proved for these mappings. In general case such mappings are discontinuous in the domain but necessarily…

一般拓扑 · 数学 2025-04-22 Ravindra K. Bisht , Evgeniy Petrov

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 prove the existence of common fixed points for a pair of maps on a $q$-spherically complete $T_0$-ultra-quasi-metric space. The present article is a generalization, in the assymmetric setting of the paper of Rao et…

一般拓扑 · 数学 2014-12-04 Collins Amburo Agyingi , Yaé Ulrich Gaba

We introduce a new type of mappings in metric spaces which are three-point analogue of the well-known Kannan type mappings and call them generalized Kannan type mappings. It is shown that in general case such mappings are discontinuous but…

一般拓扑 · 数学 2025-01-06 Evgeniy Petrov , Ravindra K. Bisht

In this paper, we study the fixed point theory for multi-valued mappings on partial cone metric spaces. We prove an analogous to the well-known Kannan$'s$ fixed point theorem and Chatterjea$'s$ fixed point theorem for multi-valued mappings…

泛函分析 · 数学 2022-09-21 T. L. Shateri , H. Isik

In this paper, we study the existence of fixed points for mappings defined on complete, (sequentially compact) cone metric spaces, satisfying a general contractive inequality depending of two additional mappings.

泛函分析 · 数学 2015-02-17 José R. Morales , Edixon Rojas

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

This paper establishes novel fixed point theorems for Kannan-type and Chatterjea-type mappings in probabilistic cone metric spaces. By integrating probabilistic distance functions with cone-valued structures, we generalize classical fixed…

泛函分析 · 数学 2025-09-10 Elvin Rada

We establish the existence of a common fixed point for mappings that satisfy and extend the F-contraction condition. To support our findings, we present pertinent definitions and properties associated with F-contraction mappings.…

综合数学 · 数学 2025-05-08 Djamel Deghoul , Zoheir Chebel , Abdellatif Boureghda , Salah Benyoucef

In this paper, we introduce a new contraction condition that combines the framework of Singh's extension with the classical Chatterjea contraction. This generalized form, called the Singh-Chatterjea contraction, is defined on the p-th…

泛函分析 · 数学 2025-10-15 Zouaoui Bekri , Nicola Fabiano

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 existence and uniqueness of the common fixed point for generalized contractive mappings in order partial metric spaces is investigated. The existence of nonnegative solution of implicit nonlinear integral equations is also studied. Some…

综合数学 · 数学 2023-08-08 Talat Nazir , Sergei Silvestrov

The purpose of this paper is to obtain sufficient conditions for the existence of a unique fixed point of T-Zamfirescu and T-weak contraction mappings in the framework of complete cone metric spaces.

泛函分析 · 数学 2015-02-17 José R. Morales , Edixon Rojas

The purpose of this paper is to obtain sufficient conditions for the existence of a unique fixed point of T-Kannan type mappings on complete cone metric spaces depended on another function.

泛函分析 · 数学 2009-10-26 José R. Morales , Edixon Rojas

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

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 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 2007 H. Long-Guang and Z. Xian, [H. Long-Guang and Z. Xian, Cone Metric Spaces and Fixed Point Theorems of Contractive Mapping, J. Math. Anal. Appl., 322(2007), 1468-1476], generalized the concept of a metric space, by introducing cone…

泛函分析 · 数学 2011-02-14 Mehdi Asadi , S. Mansour Vaezpour , Hossein Soleimani
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