The idea of enriched mappings in normed spaces is relatively a newer idea. In this paper, we initiate the study modular function spaces. We first introduce concepts ρ-contractions and ρ-Kannan then establish some Banach Contraction Principle type theorems for existence fixed points such setting. Our results are generalizations corresponding from to those contractions ρ-contractions. make ever a...

Motivated by long-standing conjectures on the discretization of classical inequalities in Geometry Numbers, we investigate a new set parameters, which call \emph{packing minima}, associated to convex body $K$ and lattice $\Lambda$. These numbers interpolate between successive minima inverse polar $K$, can be understood as packing counterparts covering Kannan & Lov\'{a}sz (1988). As our main res...

Interpolative Kannan contractions are a refinement of contraction, which is considered as one the significant notions in fixed point theory. Gb-metric spaces generalized concept both concepts b-metric and G-metric therefore, common results contraction based on this resultsfor concepts. The purpose manuscript, to take advantage interpolative together with notion Ωb equipped H simulation function...

We study the problem of sampling contingency tables (nonnegative integer matrices with specified row and column sums) uniformly at random. We give an algorithm which runs in polynomial time provided that the row sums ri and the column sums cj satisfy ri (n 3/ m log m), and cj (m 3/ n log n). This algorithm is based on a reduction to continuous sampling from a convex set. The same approach was t...

B. Damjanovi? and D. Dori?, Multivalued generalizations of the Kannan fixed point theorem, Filomat , vol. 25 (1) , DOI: 10. 2298/FIL 1101125D, (2011), 125-131. B. E. Rhoades and M. Abbas, Maps satisfying generalized contractive condition of integral type for which F(T) = F(Tn), International Journal of Pure and Applied Mathematics, vol. 45, no. 2 (2008), 225-231. D. Dori? and R. Lazovi?, Some S...

One major risk factor for cutaneous melanoma is ultraviolet (UV) exposure. Intense intermittent UV exposure and childhood sunburn are linked epidemiologically with melanoma risk, and in mice neonatal UV exposure promotes development of cutaneous melanoma (Noonan et al., 2001; Kannan et al., 2003). Other evidence that UV contributes to melanomagenesis includes increased risk for populations with...

Journal of Marketing Research Vol. XLII (February 2005), 30–42 *Wilfred Amaldoss is Associate Professor of Marketing, Fuqua School of Business, Duke University (e-mail: [email protected]). Sanjay Jain is Associate Professor of Marketing, Robert H. Smith School of Business, University of Maryland (e-mail: [email protected]). Both authors contributed equally to the article. The author...

Copyright q 2012 K. Kannan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Many investigations are undergoing of the relationship between topological spaces and graph theory. The aim of this short communication is to study the na...

We present the state of the art solvers of the Shortest and Closest Lattice Vector Problems in the Euclidean norm. We recall the three main families of algorithms for these problems, namely the algorithm by Micciancio and Voulgaris based on the Voronoi cell [STOC’10], the Monte-Carlo algorithms derived from the Ajtai, Kumar and Sivakumar algorithm [STOC’01] and the enumeration algorithms origin...