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Curvature is a notion originally developed in differential and Riemannian geometry. It was then discovered that curvature inequalities in Riemannian manifolds are equivalent to other geometric propert...
We develop a new approach to formulate and prove the weak uncertainty inequality which was recently introduced by Okoudjou and Strichartz.We assume either an appropriate measure growth condition with ...
The object of this paper is to establish a unique common fixed point theorem for six self-mappings satisfying a contractive condition of [8] through compatibility of type (α) and weak compatibility wi...
In this paper we have proved fixed point theorems for continuous contraction mappings in dislocated quasi-metric space. Also we obtain a common fixed point theorem for a pairs of mappings in dislocate...
We present a new proof of a recent ǫ regularity of G. Tian and J.Viaclovsky.Moreover, our idea also also works with a kind of Lp, p < dimM/2 assumptions on the curvature.
It is well-known that point-set topology (without additional structure) lacks the capacity to generalize the analytic concepts of completeness, boundedness, and other typically-metric properties. The...
Partial differential equations with discrete (concentrated) state-dependent delays are studied. The existence and uniqueness of solutions with initial data from a wider linear space is proven first a...
Let $({\mathcal X}, d, \mu)$ be a separable metric measure space satisfying the known upper doubling condition, the geometrical doubling condition and the non-atomic condition that $\mu(\{x\})=0$ for ...
Given a set of vertices S = {v1, v2, ..., vk} of a connected graph G, the metric representation of a vertex v of G with respect to S is the vector r(v|S) = (d(v, v1), d(v, v2), ..., d(v, vk )), where ...
The purpose of this article is to study the mathematical expectation of probabilistic metric space and by using the method of mathematical expectation to study the fixed point theorem of Banach in the...
In this paper we have proved fixed point theorems for Kannan mappings and generalized contraction mappings in dislocated quasi-metric space. Also discussed a common fixed point theorem in complete dis...
In this article, some new completeness theorems in probabilis- tic normed space are proved. Moreover, the existence of a constrictive Menger probabilistic normed space is shown.
There are two natural metrics defined on an arbitrary convex cone: Thompson's part metric and Hilbert's projective metric. For both, we establish an inequality giving information about how far the met...
In the paper we generalize (and improve) the results of T. Singh [5], with mediate function, to the strong summability. We also apply the generalization of L. Leindler type [3].
Efficient and fast solutions to the problem of computing the Hausdorff metric between two arbitrary grey-scale, digitised images are considered. The more efficient of the techniques proposed here cons...

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