Results 11 to 20 of about 331,737 (281)
Some ϕ-fixed point results in b-metric spaces with applications
Cumhuriyet Science Journal, 2019 The fixed point theory is the most important topic in mathematics anaysis. This topic has many applications in the different fields. It demonstrates the uniqueness of the existence of a mapping and how it can be found.
Müzeyyen Sangurlu Sezen
doaj +1 more source
Coupled fractals in complete metric spaces
Nonlinear Analysis, 2018 The aim of this paper is to present fixed set theorems, collage type and anticollage type results for single-valued operators T : X × X → X in the framework of a complete metric space X.
Adrian Petru¸sel, Anna Soós
doaj +1 more source
Canonical Metrics on the Moduli Space of Riemann Surfaces I [PDF]
, 2004 We prove the equivalences of several classical complete metrics on the Teichm\"uller and the moduli spaces of Riemann surfaces. We use as bridge two new K\"ahler metrics, the Ricci metric and the perturbed Ricci metric and prove that the perturbed Ricci ...
Liu, Kefeng +2 more
core +2 more sources
Fixed point theorems for d-complete topological spaces I
International Journal of Mathematics and Mathematical Sciences, 1992 Generalizations of Banach's fixed point theorem are proved for a large class of non-metric spaces. These include d-complete symmetric (semi-metric) spaces and complete quasi-metric spaces.
Troy L. Hicks
doaj +1 more source
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
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
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
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
Stochastic order on metric spaces and the ordered Kantorovich monad
, 2020 In earlier work, we had introduced the Kantorovich probability monad on complete metric spaces, extending a construction due to van Breugel. Here we extend the Kantorovich monad further to a certain class of ordered metric spaces, by endowing the spaces ...
Fritz, Tobias, Perrone, Paolo
core +1 more source