Meir-Keeler Type Contraction Mappings in $c_0$-triangular Fuzzy Metric Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2018 Proving fixed point theorem in a fuzzy metric space is not possible for Meir-Keeler contractive mapping. For this, we introduce the notion of $c_0$-triangular fuzzy metric space.
Masoomeh Hezarjaribi
doaj +1 more source
Near Fixed Point Theorems in the Space of Fuzzy Numbers
Mathematics, 2018 The fuzzy numbers are fuzzy sets owning some elegant mathematical structures. The space consisting of all fuzzy numbers cannot form a vector space because it lacks the concept of the additive inverse element.
Hsien-Chung Wu
doaj +1 more source
Extended Rectangular Fuzzy B-metric Space
, 2021 In this paper, we introduce an extended rectangular fuzzy b-metric space which generalizes rectangular fuzzy b-metric space and rectangular fuzzy metric space. We show that an extended rectangular fuzzy b-metric space is not Hausdorff.
Salman Furqan, N. Saleem, M. Abbas
semanticscholar +1 more source
Weakly compatible fixed point theorem in intuitionistic fuzzy metric spaces
AIP Advances, 2023 This study presents fundamental theorems, lemmas, and mapping definitions. There are three types of mappings: binary operators, compatible mappings, and sequentially continuous mappings.
C. Yue +6 more
semanticscholar +1 more source
L-Fuzzy Invariant Metric Space
Communications in Advanced Mathematical Sciences, 2018 In this paper, we define L-fuzzy invariant metric space, and generalize some well known results in metric and fuzzy metric space including Uniform continuity theorem and Ascoli-Arzela theorem.
Servet Kütükçü
doaj +1 more source
Fixed-Point Theorems for Nonlinear Contraction in Fuzzy-Controlled Bipolar Metric Spaces
Axioms, 2023 In this paper, we introduce the concept of fuzzy-controlled bipolar metric space and prove some fixed-point theorems in this space. Our results generalize and expand some of the literature’s well-known results.
Gunaseelan Mani +4 more
doaj +1 more source
Metric Properties of the Fuzzy Sphere
, 2012 The fuzzy sphere, as a quantum metric space, carries a sequence of metrics which we describe in detail. We show that the Bloch coherent states, with these spectral distances, form a sequence of metric spaces that converge to the round sphere in the high ...
A. Connes +34 more
core +1 more source
Representation of uncertain multichannel digital signal spaces and study of pattern recognition based on metrics and difference values on fuzzy n-cell number spaces [PDF]
, 2009 In this paper, we discuss the problem of characterization for uncertain multichannel digital signal spaces, propose using fuzzy n-cell number space to represent uncertain n-channel digital signal space, and put forward a method of constructing such fuzzy
Messenger, Paul +2 more
core +1 more source
Diffusion‐based size determination of solute particles: a method adapted for postsynaptic proteins
FEBS Open Bio, EarlyView.We present a diffusion‐based approach for measuring the size of macromolecules and their complexes, and demonstrate its use on postsynaptic proteins. The method requires fluorescein‐labelled protein samples, a microfluidic device that maintains laminar flow for said samples, a microscope recording the emitted fluorescent signals, and an analytic ...
András László Szabó +7 more
wiley +1 more source
Some results for multivalued mappings in extended fuzzy b-metric spaces
AIMS Mathematics, 2023 In this paper, some fixed point results for multivalued contractions are established in setting G-complete extended fuzzy b-metric spaces. An example is furnished to demonstrate the validity of results.
Samina Batul +4 more
doaj +1 more source