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In this article, we introduce the LR-$(\delta,\phi)$ quasi partial $b$-metric space. Also, the common fixed point theorem on complete LR-$(\delta,\phi)$ quasi partial $b$-metric space has been proved. A non-trivial example is also given.

泛函分析 · 数学 2025-06-13 Anuradha Gupta , Rahul Mansotra

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 prove several fixed point theorems on both of normal partially ordered Banach spaces and regular partially ordered Banach spaces by using the normality, regularity, full regularity, and chain -complete property. Then, by…

泛函分析 · 数学 2017-06-22 Jinlu Li

We use the method of monotone iterations to obtain fixed point and coupled fixed point results for mixed monotone operators in the setting of partially ordered sets, with no additional assumptions on the partial order and with no…

一般拓扑 · 数学 2013-08-23 Mircea-Dan Rus

In this paper we combine the notions of partial metric spaces with negative distances, $G_p$-metric spaces and n-metric spaces together into one structure called the partial n-metric spaces. These are generalizations of all the said…

一般拓扑 · 数学 2015-08-18 Samer Assaf , Koushik Pal

In this paper, we extend a fixed point theorem due to Ciric to a cone metric space.

一般拓扑 · 数学 2010-05-19 Bessem Samet

In this paper we study the existence and uniqueness of fixed points of a class of mappings defined on complete, (sequentially compact) cone metric spaces, without continuity conditions and depending on another function.

泛函分析 · 数学 2009-06-12 José R. Morales , Edixon Rojas

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

We establish three major fixed-point theorems for functions satisfying an odd power type contractive condition in G-metric spaces. We first consider the case of a single mapping, followed by that of a triplet of mappings and we conclude by…

一般拓扑 · 数学 2017-09-25 Yaé Ulrich Gaba , Collins Amburo Agyingi

In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric spaces.

经典分析与常微分方程 · 数学 2013-05-14 Kourosh Nourouzi

In this paper, we study some new common fixed point results of generalized contractive non-self multi-valued mappings on complete metric space.

泛函分析 · 数学 2013-09-06 Farshid Khojasteh , Vladimir Rakočević

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

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 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 paper introduces the class of O-metric spaces, a novel generalization of metric-type spaces, classifying almost all possible metric types into upward and downward O-metrics. We list some topologies arising from O-metrics and discuss…

综合数学 · 数学 2025-04-29 Hallowed O. Olaoluwa , Aminat O. Ige , Johnson O. Olaleru

The paper proposes a novel hybrid method for solving equilibrium problems and fixed point problems. By constructing specially cutting-halfspaces, in this algorithm, only an optimization program is solved at each iteration without the…

最优化与控制 · 数学 2015-10-30 Dang Van Hieu

We give a quick survey of the various fixed point theorems in computability theory, partial combinatory algebra, and the theory of numberings, as well as generalizations based on those. We also point out several open problems connected to…

逻辑 · 数学 2024-02-06 Sebastiaan A. Terwijn

\"{O}zavsar and Cevikel(Fixed point of multiplicative contraction mappings on multiplicative metric space.arXiv:1205.5131v1 [math.GN] 23 may 2012)initiated the concept of the multiplicative metric space in such a way that the usual…

综合数学 · 数学 2014-12-30 Muhammad Sarwar , Badshah-e-Rome

In this research article, we discuss two topics. Firstly, we introduce SCC-Map and $\phi$-contraction type $T$-coupling. By using these two definitions, we generalize $\phi$-contraction type coupling given by H. Aydi et al. [3] to…

泛函分析 · 数学 2017-10-30 Tawseef Rashid , Q. H. Khan

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