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Mathematics, Volume 7, Issue 5

May 2019 - 106 articles

Cover Story: Machine learning can be used to learn multiscale discretization parameters and accelerate the simulations. The figure shows a coarse-grid discretization (left), neural network approximation (middle), a multiscale basis function (right) and solution (bottom). View this paper.
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Articles (106)

  • Article
  • Open Access
9 Citations
3,402 Views
13 Pages

Let G = ( V ( G ) , E ( G ) ) be a connected graph. An ordered set W ⊂ V ( G ) is a resolving set for G if every vertex of G is uniquely determined by its vector of distances to the vertices in W. The metric dimension of G is the...

  • Article
  • Open Access
28 Citations
5,450 Views
28 Pages

In this paper, a supply-chain (SC) coordination method based on the lead-time crashing is proposed for a seller–buyer system. By considering different transportation modes, we control the lead-time (LT) variability. For the first time, we have...

  • Article
  • Open Access
2,775 Views
14 Pages

Generalized (σ,ξ)-Contractions and Related Fixed Point Results in a P.M.S

  • Vahid Parvaneh,
  • Babak Mohammadi,
  • Hassen Aydi and
  • Aiman Mukheimer

In this paper, we present the concept of Θ − ( σ , ξ ) Ω -contraction mappings and we nominate some related fixed point results in ordered p-metric spaces. Our results extend several famous ones in the literature...

  • Article
  • Open Access
3 Citations
2,946 Views
19 Pages

(C , Ψ * , G ) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph

  • Reny George,
  • Ekta Tamrakar,
  • Jelena Vujaković,
  • Hemant Kumar Pathak and
  • Selvavinayagam Velusamy

In this paper, we introduce the ( C , Ψ * , G ) class of contraction mappings using C-class functions and some improved control functions for a pair of set valued mappings as well as a pair of single-valued mappings, and prove common fixed...

  • Article
  • Open Access
29 Citations
3,990 Views
18 Pages

Very recently, the incomplete Pochhammer ratios were defined in terms of the incomplete beta function B y ( x , z ) . With the help of these incomplete Pochhammer ratios, we introduce new incomplete Gauss, confluent hypergeometric, and App...

  • Article
  • Open Access
3 Citations
2,939 Views
10 Pages

For inventory models with unknown distribution demand, during shortages, researchers used the first and the second moments to derive an upper bound for the worst case, that is the min-max distribution-free procedure for inventory models. They applied...

  • Article
  • Open Access
6 Citations
3,127 Views
10 Pages

On the Rate of Convergence for a Characteristic of Multidimensional Birth-Death Process

  • Alexander Zeifman,
  • Yacov Satin,
  • Ksenia Kiseleva and
  • Victor Korolev

We consider a multidimensional inhomogeneous birth-death process. In this paper, a general situation is studied in which the intensity of birth and death for each coordinate (“each type of particle”) depends on the state vector of the who...

  • Article
  • Open Access
19 Citations
3,834 Views
15 Pages

A Mizoguchi–Takahashi Type Fixed Point Theorem in Complete Extended b-Metric Spaces

  • Nayab Alamgir,
  • Quanita Kiran,
  • Hassen Aydi and
  • Aiman Mukheimer

In this paper, we prove a new fixed point theorem for a multi-valued mapping from a complete extended b-metric space U into the non empty closed and bounded subsets of U, which generalizes Nadler’s fixed point theorem. We also establish some fi...

  • Article
  • Open Access
4 Citations
3,262 Views
20 Pages

An Efficient Memetic Algorithm for the Minimum Load Coloring Problem

  • Zhiqiang Zhang,
  • Zhongwen Li,
  • Xiaobing Qiao and
  • Weijun Wang

Given a graph G with n vertices and l edges, the load distribution of a coloring q: V → {red, blue} is defined as dq = (rq, bq), in which rq is the number of edges with at least one end-vertex colored red and bq is the number of edges with at le...

  • Article
  • Open Access
20 Citations
4,736 Views
17 Pages

On Some New Fixed Point Results in Complete Extended b-Metric Spaces

  • Quanita Kiran,
  • Nayab Alamgir,
  • Nabil Mlaiki and
  • Hassen Aydi

In this paper, we specified a method that generalizes a number of fixed point results for single and multi-valued mappings in the structure of extended b-metric spaces. Our results extend several existing ones including the results of Aleksic et al....

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Mathematics - ISSN 2227-7390