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 paper, we introduce the concept of generalized quasi-contractions in the setting of cone $b$-metric spaces over Banach algebras. By omitting the  assumption of normality we establish common fixed point theorems for the generalized quasi-contractions  with the spectral radius $r(lambda)$ of the quasi-contractive constant vector $lambda$ satisfying $r(lambda)in [0,frac{1}{s})$  in the set...

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

In [5] Witzgall proved that any weak metric defined on a real vector space, which is convex in each of the arguments, is determined by a weak gauge. In this paper we extend this result to any continuous weak metric defined on the positive cone in a totally ordered vector space, which is convex in each of the arguments.

Huang and Zhang 1 reintroduced the notion of cone metric spaces and established fixed point theorems for mappings on this space. After that, many fixed point theorems have been proved in normal or nonnormal cone metric spaces by some authors see e.g. 1–26 and references contained therein . We need to recall some basic notations, definitions, and necessary results from literature. Let R be the s...

We introduce a model of the set of all Polish (=separable complete metric) spaces: the cone R of distance matrices, and consider geometric and probabilistic problems connected with this object. The notion of the universal distance matrix is defined and we proved that the set of such matrices is everywhere dense Gδ set in weak topology in the cone R. Universality of distance matrix is the necess...

In this paper we consider the so called a vector metric space, which is a generalization of metric space, where the metric is Riesz space valued. We prove some common fixed point theorems for three mappings in this space. Obtained results extend and generalize well-known comparable results in the literature.