In this work, we introduce the concept of a hyperbolic valued dislocated metric space, and show that fixed point self-mappings in such spaces is exist unique by using Banach, Kannan Chatterjea type contractions. Furthermore, discuss an illustrative example to substantiate applicability usefulness our main result.

We prove asymptotic estimates for the volume of families Orlicz balls in high dimensions. As an application, we describe a large family which verify famous conjecture Kannan, Lov{\'a}sz and Simonovits about spectral gaps. also study independence coordinates on uniform random vectors balls, as well integrability properties their linear functionals.

This note is prepared based on the article titled “Linear Sketching over F2”(ECCC TR16-174) by Sampath Kannan, Elchanan Mossel and Grigory Yaroslavtsev. We quantitatively improve the parameters of Theorem 1.4 of the above work, as well as an earlier bound of ours. In particular, our result implies that for every ∈ (0, 12 ) and every constant δ > 0, the one-way communication complexity of any Bo...

Macrolide antibiotics are thought to clog up the ribosomal tunnel and thereby block general protein synthesis. By using a combination of elegant in vivo and in vitro approaches, Kannan et al. show that the inhibitory action of these drugs on bacterial protein synthesis is selective rather than global.

In this paper we present some best proximity point theorems for a combination of weak Kannan and Chatterjea nonlinear cyclic contraction and the MT functions in the frameworks of a metric space (X, d), thereby furnishing an optimal approximate solution to the equations of the form Tx = x, where T is a non-self mapping.

In this paper, we establish some common fixed point theorems for fuzzy mappings satisfying fuzzy contractive conditions which are general than Chatterjee type and Kannan type fuzzy contractive conditions on closed balls in a complete metric space. Our results generalize the corresponding results in the current literature. AMS (2000) subject classification: 45S40 • 47H10 • 54H25