Results 31 to 40 of about 184,969 (228)

Operations between sets in geometry [PDF]

, 2013
An investigation is launched into the fundamental characteristics of operations on and between sets, with a focus on compact convex sets and star sets (compact sets star-shaped with respect to the origin) in $n$-dimensional Euclidean space $\R^n$.
Gardner, Richard J., Hug, Daniel, Weil, Wolfgang   +2 more
core   +1 more source

Iterated Function Systems Consisting of Generalized Convex Contractions in the Framework of Complete Strong b-metric Spaces

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
The concept of generalized convex contraction was introduced and studied by V. Istrăţescu and the notion of b-metric space was introduced by I. A. Bakhtin and S. Czerwik.
Georgescu Flavian
doaj   +1 more source

Some approximate fixed point theorems without continuity of the operator using auxiliary functions [PDF]

Mathematica Bohemica, 2019
We introduce partial generalized convex contractions of order $4$ and rank $4$ using some auxiliary functions. We present some results on approximate fixed points and fixed points for such class of mappings having no continuity condition in $\alpha ...
Sumit Chandok, Arslan Hojjat Ansari, Tulsi Dass Narang   +2 more
doaj   +1 more source

Fixed Point Theorems for Mann’s Iteration Scheme in Convex G_b-Metric Spaces with an Application

Axioms, 2023
In this paper, we present a series of fixed point results for Mann’s iteration scheme in the framework of Gb-metric spaces. First, we introduce the concept of convex Gb-metric space by means of a convex structure and Mann’s iteration algorithm is ...
Dong Ji, Chaobo Li, Yunan Cui
doaj   +1 more source

Uniformly Convex Metric Spaces

Analysis and Geometry in Metric Spaces, 2014
Abstract In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit ageneralized convexity of the metric from a fixed point. Using a (nearly) uniform convexity property a simpleproof of reflexivity is presented and a weak topology of such spaces is analyzed.
openaire   +4 more sources

An approach for metric space with a convex combination operation and applications

, 2015
In this paper, we embed metric space endowed with a convex combination operation, named convex combination space, into a Banach space and the embedding preserves the structures of metric and convex combination.
Thuan, Nguyen Tran
core   +1 more source

Kahler metric on the space of convex real projective structures on surface

, 2016
We prove that the space of convex real projective structures on a surface of genus $g\ge 2$ admits a mapping class group invariant K\"ahler metric where Teichm\"uller space with Weil-Petersson metric is a totally geodesic complex submanifold.Comment ...
Kim, Inkang, Zhang, Genkai
core   +1 more source

H\"older continuity for support measures of convex bodies

, 2015
The support measures of a convex body are a common generalization of the curvature measures and the area measures. With respect to the Hausdorff metric on the space of convex bodies, they are weakly continuous.
Hug, Daniel, Schneider, Rolf
core   +1 more source

Uniform Lipschitz-connectedness and metric convexity [PDF]

Categories and General Algebraic Structures with Applications
In this paper we continue with our study of uniformly Lipschitz-connected metric spaces.   We obtain further properties of uniformly Lipschitz-connected metric spaces and then obtain a generalisation of a result due to Edelstein.
Paranjothi Pillay, Dharmanand Baboolal
doaj   +1 more source

Some aspects of Isbell-convex quasi-metric spaces

Applied General Topology, 2018
We introduce and investigate the concept of geodesic bicombing in T0-quasi-metric spaces. We prove that any Isbell-convex T0-quasi-metric space admits a geodesic bicombing which satisfies the equivariance property.
Olivier Olela Otafudu
doaj   +1 more source