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相关论文: A fixed point result of Kannan-type for multi-valu…

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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

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

We prove a generalization of Kannan's fixed point theorem, based on a recent result of Vittorino Pata.

一般拓扑 · 数学 2012-12-18 Mitropam Chakraborty , S. K. Samanta

In this short note, we obtain partial quasi-metric versions of Kannan's fixed point theorem for self-mappings. Moreover, we use these fixed points results to characterize a certain type of completeness in partial quasi-metric spaces. We…

一般拓扑 · 数学 2019-02-11 Yaé Ulrich Gaba

We obtain sufficient conditions for existence of unique fixed point of Kannan type mappings on complete metric spaces and on generalized complete metric spaces depended an another function.

泛函分析 · 数学 2009-03-10 S. Moradi

In this paper, first we have established two sets of sufficient conditions for a mapping to have unique fixed point in a intuitionistic fuzzy metric space and then we have redefined the contraction mapping in a intuitionistic fuzzy metric…

综合数学 · 数学 2010-11-09 T. K. Samanta , Sumit Mohinta , Iqbal H. Jebril

The purpose of this paper is to introduce the class of R-enriched interpolative Kannan pair and proved a common fixed point result in the context of R-complete convex metric spaces. Some examples are presented to support the concepts…

综合数学 · 数学 2022-11-24 Mujahid Abbas , Rizwan Anjum , Shakeela Riasat

Our purpose of this paper is to focus on fixed point property in fuzzy metric space. To achieve our objective, we will introduce a new contraction condition to examine the fixed point for multi-valued mapping, then we will be investigating…

综合数学 · 数学 2024-07-23 Ismail Tahiri , Ahmed Nuino

Let $X$ be a linear space over a field $\mathbb{K}$ and $(X, \rho, *)$ a fuzzy seminorm space where $(\rho, *)$ a fuzzy seminorm with $*$ a continuous $t$-norm. We give a fixed point theorem for Fuzzy Locally Convex Space.

综合数学 · 数学 2021-01-29 M. E. Egwe , R. A. Oyewo

In this paper we prove some new fixed point theorems for multivalued mappings on orbitally complete uniform spaces.

一般拓扑 · 数学 2007-05-23 Duran Turkoglu , Brian Fisher

In this article, we consider Kannan type contractive self-map $T$ on a metric space $(X,d)$ such that \[d(Tx,Ty)<\frac{1}{2}\{d(x,Tx)+d(y,Ty)\} \mbox{ for all } x \neq y \in X, \] and establish some new fixed point results without taking…

泛函分析 · 数学 2017-07-21 Hiranmoy Garai , Tanusri Senapati , Lakshmi Kanta Dey

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

Generalizations of a metric space is one of the most important research areas in mathematics. In literature ,there are several generalized metric spaces. The latest generalized metric space is b_{v}(s) metric space which is introduced by…

综合数学 · 数学 2018-02-02 Ibrahim Karahan

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

Rectangular TVS-cone metric spaces are introduced and Kannan's fixed point theorem is proved in these spaces. Two approaches are followed for the proof. At first we prove the theorem by a direct method using the structure of the space…

一般拓扑 · 数学 2011-02-11 Thabet Abdeljawad , Duran Türkoğlu

Our main aim in this paper is to introduce a general concept of multidimensional fixed point of a mapping in spaces with distance and establish various multidimensional fixed point results. This new concept simplifies the similar notion…

综合数学 · 数学 2017-01-04 Mitrofan M. Choban , Vasile Berinde

In this paper we establish the existence of related fixed points theorems for two pairs of mappings with different contraction conditions in two fuzzy metric spaces.

综合数学 · 数学 2012-05-14 T. K. Samanta , Sumit Mohinta , Iqbal H. Jebril

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 paper, we give and prove two Chatterjea type fixed point theorems on partial $b$-metric space. We propose an extension to the Banach contraction principle on partial $b$-metric space which was already presented by Shukla and also…

一般拓扑 · 数学 2019-02-11 Yaé Ulrich Gaba , Collins Amburo Agyingi , Domini Jocema Leko
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