This study involves new notions of continuity mapping between quasi-cone metrics spaces (QCMSs), cone metric (CMSs), and vice versa. The relation all were thoroughly studied supported with the help examples. In addition, these continuities compared various types two QCMSs. are

in this paper, we study a special class of generalized douglas-weyl metrics whose douglas curvature is constant along any finslerian geodesic. we prove that for every landsberg metric in this class of finsler metrics, ? = 0 if and only if h = 0. then we show that every finsler metric of non-zero isotropic flag curvature in this class of metrics is a riemannian if and only if ? = 0.

a common fixed point result for weakly increasing mappings satisfying generalized contractive type of zhang in ordered metric spaces are derived.

in this paper, we introduce a new concept of fuzzy generalizedcontraction and give a fixed point result for such mappings in the setting of fuzzy m-complete metric spaces. we also give an affirmative partial answer to a question posed by wardowski [d. wardowski, fuzzy contractive mappings and fixed points in fuzzy metric spaces, fuzzy set syst., {bf 222}(2013), 108-114].some examples are also g...

we consider the concept of fuzzy quasi-contractions initiated by '{c}iri'{c} in the setting of fuzzy metric spaces and establish fixed point theorems for quasi-contractive mappings and for fuzzy $mathcal{h}$-contractive mappings on m-complete fuzzy metric spaces in the sense of george and veeramani.the results are illustrated by a representative example.

A probabilistic semi-metric space (S, F ) is said to be of class H ([5]) if there exists a metric d on S such that, for t > 0, d(p, q) < t ⇔ Fpq(t) > 1− t. We will prove that (S, F ) is of class H iff the mapping K, defined on S × S by K (p, q) = sup{t ≥ 0 | t ≤ 1− Fpq(t)} is a metric on S. Two fixed point theorems for multivalued contractions in probabilistic metric spaces are also proved. Inc...

We consider the space of all quasifuchsian metrics on the product of a surface with the real line. We show that, in a neighborhood of the submanifold consisting of fuchsian metrics, every non-fuchsian metric is completely determined by the bending data of its convex core. Let S be a surface of finite topological type, obtained by removing finitely many points from a compact surface without boun...

Z. Li characterized spaces with a weak-development consisting of point-countable sfp-covers by pseudo-sequence-covering, quotient, and π-s-image of metric spaces. In this paper, we omit ”pseudo-sequence-covering” in the above result, and prove that a space has a weak-development consisting of point-countable sfp-covers iff it is a quotient, and π-s-image of a metric space.

Array codes or two-dimensional codes in m-metric are subsets/subspaces of the space Matm×s(Fq), the linear space of all m × s-matrices with entries from a finite field Fq endowed with the m-metric [15]. In this paper, we obtain a lower bound over the number of parity checks of a two-dimensional m-code that corrects any two-dimensional array which has both clustered errors as well as errors in s...