Extensions of T0-quasi-metrics
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-017-0753-z
Abstract: Let $${(X, m, \leq)}$$(X,m,≤) be a partially ordered metric space, that is, a metric space (X, m) equipped with a partial order $${\leq}$$≤ on X. We say that a T0-quasi-metric d on X is m-splitting… read more here.
Keywords: metric space; partially ordered; ordered metric; quasi metric ... See more keywords
Coincidence point theorems on quasi-metric spaces via simulation functions and applications to G-metric spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0582-x
Abstract: In this paper, we present some coincidence point results in the framework of quasi-metric spaces using contractive conditions involving simulation functions. As consequences, we are able to particularize these results to a variety of situations… read more here.
Keywords: simulation functions; coincidence point; metric spaces; point ... See more keywords
$$q^\lambda $$qλ-hyperconvexity in quasi-metric spaces
Sign Up to like & getrecommendations! Published in 2019 at "Afrika Matematika"
DOI: 10.1007/s13370-019-00656-5
Abstract: In this article, we introduce and study the concept of hyperconvexity (which we call $$q^\lambda $$qλ-hyperconvexity) that is appropriate in the category of $$T_0$$T0-quasi-metric spaces and nonexpansive maps and this will generalize the notion of… read more here.
Keywords: lambda hyperconvexity; hyperconvexity; metric spaces; nonexpansive maps ... See more keywords
Poincaré and Sobolev inequalities in the Monge-Ampère quasi-metric structure
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.123969
Abstract: Abstract We establish a number of Poincare and Sobolev inequalities in the Monge-Ampere quasi-metric structure that are either new or significant improvements upon known ones. As applications we derive a host of new weighted Poincare… read more here.
Keywords: metric structure; sobolev inequalities; poincar sobolev; quasi metric ... See more keywords
Morrey inequalities in the Monge-Ampère quasi-metric structure
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124707
Abstract: Abstract Morrey-type inequalities within the Monge-Ampere quasi-metric structure are proved under various conditions on the underlying Monge-Ampere measure. A number of examples of convex functions satisfying the required assumptions are described. Applications include interior C… read more here.
Keywords: metric structure; monge ampere; inequalities monge; quasi metric ... See more keywords
On di-injective T0-quasi-metric spaces
Sign Up to like & getrecommendations! Published in 2017 at "Topology and its Applications"
DOI: 10.1016/j.topol.2017.06.014
Abstract: Abstract In this article it is shown that every q -hyperconvex T 0 -quasi-metric space is di-injective without appealing to Zorn's lemma. We also demonstrate that Q X as constructed by Kemajou et al. and… read more here.
Keywords: quasi; metric spaces; topology; quasi metric ... See more keywords
Symmetrically connected and antisymmetrically connected T0-quasi-metric extensions
Sign Up to like & getrecommendations! Published in 2020 at "Topology and its Applications"
DOI: 10.1016/j.topol.2020.107179
Abstract: Abstract In this paper, the authors introduce and study the notions of symmetrically connected extension and antisymmetrically connected extension for T 0 -quasi-metric spaces which satisfy some special conditions, with the help of two types… read more here.
Keywords: topology; quasi metric; connected quasi; extension ... See more keywords
Unsymmetric T0-quasi-metrics
Sign Up to like & getrecommendations! Published in 2020 at "Topology and its Applications"
DOI: 10.1016/j.topol.2020.107249
Abstract: Abstract H.J.K. Junnila [9] called a neighbournet N on a topological space X unsymmetric provided that for each x , y ∈ X with y ∈ ( N ∩ N − 1 ) ( x… read more here.
Keywords: quasi; quasi metrics; unsymmetric quasi; topology ... See more keywords
Function Weighted Quasi-Metric Spaces and Fixed Point Results
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2926798
Abstract: Hereafter, the concept of a function weighted quasi-metric space is introduced. A necessary topology on this new structure is considered. A condition that ensures the uniqueness of the limit of a sequence in such a… read more here.
Keywords: weighted quasi; fixed point; function weighted; quasi metric ... See more keywords
Caristi-Type Fixed Point Theorem over Száz Principle in Quasi-Metric Space with a Graph
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematics"
DOI: 10.1155/2019/8956083
Abstract: The aim of this paper is to generalize Caristi’s fixed point theorem in a K-complete quasi-metric space endowed with a reflexive digraph by using Száz maximum principle. An example is given to support our main… read more here.
Keywords: metric space; quasi metric; point theorem; fixed point ... See more keywords
Double Controlled Dislocated Quasi-Metric Type Spaces and Some Results
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematics"
DOI: 10.1155/2020/3734126
Abstract: The aim of this work is to introduce double controlled dislocated quasi-metric type spaces and to obtain fixed point results for a pair of multivalued mappings satisfying Kannan-type double controlled contraction in such spaces. An… read more here.
Keywords: type spaces; metric type; double controlled; quasi metric ... See more keywords