Results 1 to 10 of about 248 (30)
Equivalents of maximum principles for several spaces
Topological Algebra and its Applications, 2022 According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
doaj +1 more source
so-metrizable spaces and images of metric spaces
Open Mathematics, 2021 so-metrizable spaces are a class of important generalized metric spaces between metric spaces and snsn-metrizable spaces where a space is called an so-metrizable space if it has a σ\sigma -locally finite so-network.
Yang Songlin, Ge Xun
doaj +1 more source
Some Common Fixed Point Results for 𝒵E−Contractions in Modular b−Metric Spaces
Topological Algebra and its Applications, 2022 The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces.
Büyükkaya Abdurrahman +1 more
doaj +1 more source
Characterizations of quasi-metric and G-metric completeness involving w-distances and fixed points
Demonstratio Mathematica, 2022 Involving ww-distances we prove a fixed point theorem of Caristi-type in the realm of (non-necessarily T1{T}_{1}) quasi-metric spaces. With the help of this result, a characterization of quasi-metric completeness is obtained.
Karapınar Erdal +2 more
doaj +1 more source
Remarks on the generalized interpolative contractions and some fixed-point theorems with application
Open Mathematics, 2022 In this manuscript, some remarks on the papers [H. A. Hammad, P. Agarwal, S. Momani, and F. Alsharari, Solving a fractional-order differential equation using rational symmetric contraction mappings, Fractal Fract. 5 (2021), 159] and [A. Hussain, F. Jarad,
Nazam Muhammad +3 more
doaj +1 more source
Restricting uniformly open surjections [PDF]
, 2017 We employ the theory of elementary submodels to improve a recent result by Aron, Jaramillo and Le Donne (Ann. Acad. Sci. Fenn. Math., to appear) concerning restricting uniformly open, continuous surjections to smaller subspaces where they remain ...
Kania, Tomasz, Rmoutil, Martin
core +4 more sources
Intermediate Value Property for the Assouad Dimension of Measures
Analysis and Geometry in Metric Spaces, 2020 Hare, Mendivil, and Zuberman have recently shown that if X ⊂ ℝ is compact and of non-zero Assouad dimension dimA X, then for all s > dimA X, X supports measures with Assouad dimension s. We generalize this result to arbitrary complete metric spaces.
Suomala Ville
doaj +1 more source
On statistical convergence in quasi-metric spaces
Demonstratio Mathematica, 2019 A quasi-metric is a distance function which satisfies the triangle inequality but is not symmetric in general. Quasi-metrics are a subject of comprehensive investigation both in pure and applied mathematics in areas such as in functional analysis ...
İlkhan Merve, Kara Emrah Evren
doaj +1 more source
On balancedness and D-Completeness of the space of Semi-lipschitz functions [PDF]
, 2008 Let (X, d) be a quasi-metric space and (Y, q) be a quasi-normed linear space. We show that the normed cone of semi-Lipschitz functions from (X, d) to (Y, q) that vanish at a point x0 E X, is balanced.
Romaguera, S. +2 more
core +1 more source
Common fixed point theorem of six self-mappings in Menger spaces using (CLRST) property
Open Mathematics, 2018 In this paper, we study the existence and uniqueness of common fixed point of six self-mappings in Menger spaces by using the common limit range property (denoted by (CLRST)) of two pairs.
Liu Xiao-lan +4 more
doaj +1 more source