scholarly journals On the topology of fuzzy metric type spaces

Filomat ◽  
2015 ◽  
Vol 29 (1) ◽  
pp. 133-141 ◽  
Author(s):  
Reza Saadati
Keyword(s):  
Type Space ◽  
Fuzzy Metric ◽  
Type Spaces

In this paper, first we introduce the concept of fuzzy metric type space and consider the topology induced by a fuzzy metric type. Next, we consider the complete fuzzy metric type spaces and prove that any G? set in a complete metric type space is a complete fuzzy metrizable type space.

scholarly journals Improving KKM Theory on General Metric Type Spaces

2021 ◽  
Vol 9 (1) ◽  
pp. 1-12
Author(s):  
Sehie Park
Keyword(s):  
Convex Space ◽  
Metric Spaces ◽  
Space Theory ◽  
Type Space ◽  
Generalized Metric ◽  
Abstract Convex Space ◽  
Type Spaces

Abstract A generalized metric type space is a generic name for various spaces similar to hyperconvex metric spaces or extensions of them. The purpose of this article is to introduce some KKM theoretic works on generalized metric type spaces and to show that they can be improved according to our abstract convex space theory. Most of these works are chosen on the basis that they can be improved by following our theory. Actually, we introduce abstracts of each work or some contents, and add some comments showing how to improve them.

scholarly journals Double Controlled Metric Type Spaces and Some Fixed Point Results

Mathematics ◽  
2018 ◽  
Vol 6 (12) ◽  
pp. 320 ◽  
Author(s):  
Thabet Abdeljawad ◽  
Nabil Mlaiki ◽  
Hassen Aydi ◽  
Nizar Souayah
Keyword(s):  
Fixed Point ◽  
Triangle Inequality ◽  
Metric Spaces ◽  
Type Space ◽  
Control Functions ◽  
Right Hand ◽  
Type Spaces ◽  
The Right ◽  
The Given

In this article, in the sequel of extending b-metric spaces, we modify controlled metric type spaces via two control functions α ( x , y ) and μ ( x , y ) on the right-hand side of the b - triangle inequality, that is, d ( x , y ) ≤ α ( x , z ) d ( x , z ) + μ ( z , y ) d ( z , y ) , for all x , y , z ∈ X . Some examples of a double controlled metric type space by two incomparable functions, which is not a controlled metric type by one of the given functions, are presented. We also provide some fixed point results involving Banach type, Kannan type and ϕ -nonlinear type contractions in the setting of double controlled metric type spaces.

scholarly journals On Quasi-Pseudometric Type Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Eniola Funmilayo Kazeem ◽  
Collins Amburo Agyingi ◽  
Yaé Ulrich Gaba
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Cone Metric Space ◽  
Type Space ◽  
Type Spaces ◽  
Cone Metric

We introduce the concept of a quasi-pseudometric type space and prove some fixed point theorems. Moreover, we connect this concept to the existing notion of quasi-cone metric space.

scholarly journals Weighted composition operators from Bloch-type into Bers-type spaces

2021 ◽  
Vol 29 (2) ◽  
pp. 243-250
Author(s):  
HAMID VAEZI ◽  
MOHAMAD NAGHLISAR
Keyword(s):  
Composition Operator ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Sufficient Conditions ◽  
Weighted Composition Operators ◽  
Type Space ◽  
Bloch Type Space ◽  
Type Spaces ◽  
Weighted Composition ◽  
Necessary And Sufficient

In this paper we consider the weighted composition operator uC_{\varphi} from Bloch-type space B^{\alpha} into Bers-type space H_{\beta}^{\infty}, in three cases, \alpha>1, \alpha=1 and \alpha<1. We give the necessary and sufficient conditions for boundedness and compactness of the above operator.

scholarly journals Characterizations of a Class of Dirichlet-Type Spaces and Related Operators

2020 ◽  
Vol 2020 ◽  
pp. 1-6
Author(s):  
Xiaosong Liu ◽  
Songxiao Li
Keyword(s):  
Boundary Value ◽  
Type Space ◽  
Dirichlet Type ◽  
Type Spaces ◽  
Dirichlet Type Spaces ◽  
Dirichlet Type Space

In this paper, some characterizations are given in terms of the boundary value and Poisson extension for the Dirichlet-type space D μ . The multipliers of D μ and Hankel-type operators from D μ to L 2 P μ d A are also investigated.

Topologies and Fixed Points in Fuzzy Metric-Type Spaces

2018 ◽  
pp. 311-337 ◽  
Author(s):  
Yeol Je Cho ◽  
Themistocles M. Rassias ◽  
Reza Saadati
Keyword(s):  
Fixed Points ◽  
Fuzzy Metric ◽  
Type Spaces

scholarly journals On Fixed-Point Results in Controlled Partial Metric Type Spaces with a Graph

Mathematics ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 33
Author(s):  
Nizar Souayah ◽  
Mehdi Mrad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Partial Metric ◽  
Type Space ◽  
Type Spaces ◽  
Graphic Contraction ◽  
Kannan Contraction

Recently, Mlaiki et al. introduced the notion of a controlled metric type space which is a generalization of the b-metric space. In this work, we define the controlled partial metric type space and give some fixed-point theorems for extensions of Kannan contraction in this space with suitable conditions. Moreover, as an application, we derive a fixed-point theorem for graphic contraction on the considered metric space endowed with a graph.

scholarly journals Mechanism design without quasilinearity

2020 ◽  
Vol 15 (2) ◽  
pp. 511-544 ◽  
Author(s):  
Tomoya Kazumura ◽  
Debasis Mishra ◽  
Shigehiro Serizawa
Keyword(s):  
Mechanism Design ◽  
Dominant Strategy ◽  
Monotonicity Property ◽  
Allocation Rule ◽  
Type Space ◽  
Outside Option ◽  
Incentive Compatible ◽  
Type Spaces ◽  
Good Provision ◽  
Strategy Incentive

This paper studies a model of mechanism design with transfers where agents' preferences need not be quasilinear. In such a model, (i) we characterize dominant strategy incentive compatible mechanisms using a monotonicity property, (ii) we establish a revenue uniqueness result (for every dominant strategy implementable allocation rule, there is a unique payment rule that can implement it), and (iii) we show that every dominant strategy incentive compatible, individually rational, and revenue‐maximizing mechanism must charge zero payment for the worst alternative (outside option). These results are applicable in a wide variety of problems (single object auction, multiple object auction, public good provision, etc.) under suitable richness of type space. In particular, our results are applicable to two important type spaces: (a) type space containing an arbitrarily small perturbation of quasilinear type space and (b) type space containing all positive income effect preferences.

scholarly journals Controlled b-Branciari metric type spaces and related fixed point theorems with applications

Filomat ◽  
2020 ◽  
Vol 34 (13) ◽  
pp. 4253-4269
Author(s):  
Sumaiya Zubair ◽  
Kalpana Gopalan ◽  
Thabet Abdeljawad
Keyword(s):  
Fixed Point ◽  
Boundary Value Problem ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Existence Of Solution ◽  
Fixed Point Method ◽  
Fredholm Integral Equations ◽  
Effective Solution ◽  
Type Space ◽  
Type Spaces

In this manuscript, we present and develop different F-contraction methods using new kinds of contractions, namely F1-contraction and extended F1-contraction in the context of controlled b-Branciari metric type space. We then suggest an easy and effective solution for Fredholm integral equations using the fixed point method in the framework of controlled b-Branciari metric type space. We also provide an illustrative example for the existence of solution to second order boundary value problem to demonstrate the efficiency of the work that has been developed.

scholarly journals О новых точных теоремах разложения для многофункциональных пространств типа ВМОА в ограниченных псевдовыпуклых областях

2020 ◽  
pp. 102-113
Author(s):  
R.F. Shamoyan ◽  
E.B. Tomashevskaya
Keyword(s):  
Unit Ball ◽  
Atomic Decomposition ◽  
Pseudoconvex Domains ◽  
Type Space ◽  
Type Spaces ◽  
Equivalent Expressions

We provide new equivalent expressions in the unit ball and pseudoconvex domains for multifunctional analytic BMOA type space. We extend in various directions a known theorem of atomic decomposition of BMOA type spaces in the unit ball. Мы приводим новые эквивалентные выражения в единичных шаровых и псевдовыпуклых областях для многофункционального аналитического пространства типа BMOA. Мы расширяем в различных направлениях известную теорему атомарного разложения пространств типа BMOA в единичном шаре.

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