Fuzzy b-Metric Spaces: Fixed Point Results for ψ-Contraction Correspondences and Their Application
In this paper we introduce the concepts of ψ -contraction and monotone ψ -contraction correspondence in “fuzzy b -metric spaces” and obtain fixed point results for these contractive mappings.
Mujahid Abbas+2 more
doaj +1 more source
Common fixed points for weak commutative mappings on a multiplicative metric space
In this paper, we discuss the unique common fixed point of two pairs of weak commutative mappings on a complete multiplicative metric space. They satisfy the following inequality: d(Sx,Ty)≤{max{d(Ax,By),d(Ax,Sx),d(By,Ty),d(Sx,By),d(Ax,Ty)}}λ, where A and
Xiaoju He, Meimei Song, D. Chen
semanticscholar +1 more source
Ultrametricity and metric betweenness in tangent spaces to metric spaces
The paper deals with pretangent spaces to general metric spaces. An ltrametricity criterion for pretangent spaces is found and it is closely related to the metric betweenness in the pretangent spaces.
Dmytro Dordovskyi, Oleksiy Dovgoshey
openaire +3 more sources
A metric space associated with probability space
For a complete probability space (Ω,∑,P), the set of all complete sub-σ-algebras of ∑, S(∑), is given a natural metric and studied. The questions of when S(∑) is compact or connected are awswered and the important subset consisting of all continuous sub ...
Keith F. Taylor, Xikui Wang
doaj +1 more source
Corona metric spaces: Basic properties, universal lines, and the metric dimension
In this article, we introduce the study of corona metric space. After discussing some basic properties of these metric spaces, such as completeness, boundedness, compactness and separability, we provide a necessary and sufficient condition for the ...
Juan Alberto Rodríguez-Velázquez
doaj +1 more source
Partial b_{v}(s) and b_{v}(θ) metric spaces and related fixed point theorems [PDF]
In this paper, we introduced two new generalized metric spaces called partial b_{v}(s) and b_{v}({\theta}) metric spaces which extend b_{v}(s) metric space, b-metric space, rectangular metric space, v-generalized metric space, partial metric space, partial b-metric space, partial rectangular b-metric space and so on. We proved some famous theorems such
arxiv +1 more source
Some Fixed Point Theorems in b-metric Space
In this paper we have obtained some fixed point theorems on b- metric space which is an extension of a fixed point theorem by Hardy (13) and Reich (20).
P. Mishra, Shweta Sachdeva, S. Banerjee
semanticscholar +1 more source
THE EXISTENCE AND UNIQUENESS OF COMPLETION OF COMPLEX VALUED METRIC SPACES
Completion of a metric space has been investigated and proved its existence and uniqueness. While a complex valued metric space is considered as a generalization of a metric space, we study the completion properties of complex valued metric spaces. Using
DAHLIATUL HASANAH, IMAM SUPENO
doaj +1 more source
Topological stability of a sequence of maps on a compact metric space
In this paper we discuss the dynamical system induced by sequence of maps i.e. time varying map on a metric space. We define and study shadowing and expansiveness of such dynamical systems.
D. Thakkar, Ruchi Das
semanticscholar +1 more source
Population and species neighbor identity impact trait–trait relationships and plant performance
We evaluated how populations and species identity influence plant performance and trait outcomes in mixtures, and assessed trait variation among populations of two forb species native to the western United States (Dieteria canescens and Heterotheca villosa) following three interaction treatments (single‐population monoculture, two‐population mixture ...
Alicia J. Foxx+2 more
wiley +1 more source