Results 21 to 30 of about 683,768 (364)
A Common Fixed Point Theorem in D*-Metric Spaces
Fixed Point Theory and Applications, 2007 We give some new definitions of D*-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly commuting mappings in complete D∗-metric spaces.
Haiyun Zhou +2 more
doaj +1 more source
Matkowski's type theorems for generalized contractions on (ordered) partial metric spaces
Applied General Topology, 2011 We obtain extensions of Matkowski's fixed point theorem for generalized contractions of Ciric's type on 0-complete partial metric spaces and on ordered 0-complete partial metric spaces, respectively.
Salvador Romaguera
doaj +1 more source
The Dual Gromov-Hausdorff Propinquity [PDF]
, 2014 Motivated by the quest for an analogue of the Gromov-Hausdorff distance in noncommutative geometry which is well-behaved with respect to C*-algebraic structures, we propose a complete metric on the class of Leibniz quantum compact metric spaces, named ...
Alfsen +45 more
core +3 more sources
Constructions of complete metric spaces and compact Hausdorff spaces which are not Baire spaces [PDF]
, 1993 The standard proofs of the Baire category theorem for complete metric spaces (for compact Hausdorff spaces) use the Principle of Dependent Choice. Goldblatt [1] showed the Baire Category Theorem for complete metric spaces is equivalent to the Principle ...
Tsukada Nobutaka
core +1 more source
Generalized Suzuki type Z-contraction in complete metric spaces
, 2018 In this paper, we introduce the notion of Suzuki type Z-contraction and study the corresponding fixed point property. This kind of contraction generalizes the Banach contraction and unifies several known type of nonlinear contractions.
A. Padcharoen +3 more
semanticscholar +1 more source
Fixed Point Theory in b-convex Metric Spaces
Journal of Harbin University of Science and Technology, 2021 b-metric spaces are a kind of generalized metric spaces，which have attracted extensive attention of scholars at home and abroad in recent years. In this paper，the convex structure is firstly introduced in b-metric spaces，and consequently the notion of ...
LI Chao-bo, CHEN Li-li
doaj +1 more source
Some fixed point theorems concerning (ψ,ϕ )-type contraction in complete metric spaces
, 2016 The purpose of this paper is to introduce the notions of (ψ, φ)-type contractions and (ψ, φ)-type Suzuki contractions and to establish some new fixed point theorems for such kind of mappings in the setting of complete metric spaces. The results presented
Xindong Liu +3 more
semanticscholar +1 more source
STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE
Ural Mathematical Journal, 2023 In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them ...
Subhajit Bera, Binod Chandra Tripathy
doaj +1 more source
On the metric compactification of infinite-dimensional $\ell_{p}$ spaces
, 2018 The notion of metric compactification was introduced by Gromov and later rediscovered by Rieffel; and has been mainly studied on proper geodesic metric spaces.
Gutiérrez, Armando W.
core +1 more source
Completion of a Dislocated Metric Space [PDF]
Abstract and Applied Analysis, 2015 We provide a construction for the completion of a dislocated metric space (abbreviatedd-metric space); we also prove that the completion of the metric associated with ad-metric coincides with the metric associated with the completion of thed-metric.
Kumari, P. Sumati +3 more
openaire +4 more sources