QQ(R) (abbreviated as Q) is the space of unordered Q points in R introduced by Almgren [AF]. In this paper, we first show that the space Q with metric G is non-negatively curved in the sense of Alexandrov. We also discuss some issues like metric tangent cone and exponential map. In the second part, we define the signature of points in Q, give a decomposition of this metric space according to th...

This work aims to generalize the Banach contraction theorem M-fuzzy cone metric spaces. We construct generalized contractive conditions for three self mappings with which they have a unique common fixed point.

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].

Let Ξ(H) denote the set of all nonzero closed convex cones in a finite dimensional Hilbert space H. Consider this set equipped with the bounded Pompeiu-Hausdorff metric δ. The collection of all pointed cones forms an open set in the metric space (Ξ(H), δ). One possible way of measuring the degree of pointedness of a cone K is by evaluating the distance from K to the set of all nonpointed cones....

d(x, y) = 1 ar y\Y = £ \xt y^ |. 1 j) = \xi xA-^ for all 0 < i < j < n. The family of all metrics d on X which are isometrically £^-embeddable forms a cone: C(X) Cn, called cut cone (or Bamming cone). The cut cone Cn is generated by the cut metrics ds for subsets S of...

Recently, Huang and Zhang 1 generalized the concept of a metric space, replacing the set of real numbers by ordered Banach space and obtained some fixed point theorems for mappings satisfying different contractive conditions. Subsequently, the study of fixed point theorems in such spaces is followed by some other mathematicians; see 2–8 . The aim of this paper is to prove a common fixed point t...

In this note, we prove common fixed point for a Banach pair of mappings on D∗-Generalized Cone Metric Space.