Towards a de Bruijn–Erdős Theorem in the $$L_1$$ -Metric

A RELATED FIXED POINT THEOREM IN n FUZZY METRIC SPACES

We prove a related fixed point theorem for n mappings which arenot necessarily continuous in n fuzzy metric spaces using an implicit relationone of them is a sequentially compact fuzzy metric space which generalizeresults of Aliouche, et al. [2], Rao et al. [14] and [15].

A Fixed Point Theorem in Generalized D-metric Spaces

A de Bruijn - Erdős theorem and metric spaces

De Bruijn and Erdős proved that every noncollinear set of n points in the plane determines at least n distinct lines. Chen and Chvátal suggested a possible generalization of this theorem in the framework of metric spaces. We provide partial results in this direction.

The De Rham Decomposition Theorem for Metric Spaces

We generalize the classical de Rham decomposition theorem for Riemannian manifolds to the setting of geodesic metric spaces of finite dimension.

Multidimensional $\beta$-skeletons in $L_1$ and $L_{\infty}$ metric

The β-skeleton {Gβ(V )} for a point set V is a family of geometric graphs, defined by the notion of neighborhoods parameterized by real number 0 < β < ∞. By using the distance-based version definition of β-skeletons we study those graphs for a set of points in R d space with l1 and l∞ metrics. We present algorithms for the entire spectrum of β values and we discuss properties of lens-based and ...