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In this paper the concept of a partial cone metric space is investigated, some continuity type theorems, and fixed point theorems of contractive mappings in this generalized setting are proved as well as some theorems related to topological…

一般拓扑 · 数学 2012-09-20 Ayse Sonmez

In this paper we shall show that the metrics are equivalent which obtained by Feng and Mao in [[1], Y. Feng and W. Mao, Equivalence of Cone Metric spaces and Metric Spaces, Fixed Point Theory, 11(2)(2010), 259-264.] and Du in [[2], Wei-Shih…

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

It is well known that fixed point problems of contractive-type mappings defined on cone metric spaces over Banach algebras are not equivalent to those in usual metric spaces (see [3] and [10]). In this framework, the novelty of the present…

泛函分析 · 数学 2019-06-17 Cristian Daniel Alecsa

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

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

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

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 the notion of modular cone metric space is introduced and some properties of such spaces are investigated. Also we define convex modular cone metric which takes values in CR(Y) where Y is a compact Hausdorff space. Then a…

泛函分析 · 数学 2013-10-15 Saeedeh Shamsi Gamchi , Mohammad Janfada , Asadollah Niknam

Some fixed point results are given for a class of functional contractions over partial metric spaces. These extend some contributions in the area due to Ilic et al [Math. Comput. Modelling, 55 (2012), 801-809].

一般拓扑 · 数学 2012-03-27 Mihai Turinici

In this paper, we introduce double controlled cone metric spaces via two control functions. An example of a double controlled cone metric space by two incomparable functions, which is not a controlled metric space, is given. We also provide…

泛函分析 · 数学 2022-08-16 T. L. Shateri

The aim of this paper is to establish the equivalence between the concepts of an $S$-metric space and a cone $S$-metric space using\ some topological approaches. We introduce a new notion of $TVS$-cone $S$-metric space using some facts…

一般拓扑 · 数学 2018-01-03 Nihal Taş

In this paper we give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.

一般拓扑 · 数学 2016-10-05 Hassen Aydi

In this article we studied the relationship between metric spaces and multiplicative metric spaces. Also, we pointed out some fixed and common fixed point results under some contractive conditions in multiplicative metric spaces can be…

一般拓扑 · 数学 2015-12-14 K. Abodayeh , A. Pitea , W. Shatanawi , T. Abdeljawad

Some inequalities for different types of convexity are established.

经典分析与常微分方程 · 数学 2013-09-27 Merve Avci Ardic

In this paper, with a view to improve the g-monotonicity condition, we introduce the notion of g-comparability of a mapping defined on an ordered set and utilize the same to prove some existence and uniqueness results on coincidence points…

一般拓扑 · 数学 2015-08-03 Aftab Alam , Mohammad Imdad

This paper is an introduction to soft cone metric spaces. We define the concept of soft cone metric via soft element, investigate soft converges in soft cone metric spaces and prove some fixed point theorems for contractive mappings on soft…

综合数学 · 数学 2016-10-06 İsmet Altıntaş , Kemal Taşköprü

We give an answer to the following question: for which metric in an abstract lattice the completion as a metric space coincides with the completion as a lattice. We obtain the answer for inductive limits of lattices which are complete in…

泛函分析 · 数学 2007-05-23 Serguei Samborski

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

The main aspect of this paper is to investigate some topological properties and Kannan-type contractions in extended cone b-metric spaces. Additionally we have imposed some extra conditions such that a sequence in an extended cone b-metric…

一般拓扑 · 数学 2023-08-09 Iqbal Kour , Pooja Saproo , Shallu Sharma

The class of O-metric spaces generalize several existing metric-types in literature including metric spaces, b-metric spaces, and ultra metric spaces. In this paper, we discuss the properties of the topology induced by an O-metric and…

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