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Mathematics, Volume 5, Issue 2

June 2017 - 16 articles

Cover Story: The graphic reveals how the vertices of an icosahedral symmetry group can be represented as ordered pairs (couplets) in Dirichlet mathematical space. This representation encodes the doubling of physical dimensions and a possible route to understand higher dimensional symmetry groups that are relevant in several theories of modern physics to explain laws of nature. The special significance of aperiodic structures in this context is presented and discussed in this paper. View this paper
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Articles (16)

  • Article
  • Open Access
19 Citations
6,109 Views
12 Pages

Discrete-Time Fractional Optimal Control

  • Tirumalasetty Chiranjeevi and
  • Raj Kumar Biswas

19 April 2017

A formulation and solution of the discrete-time fractional optimal control problem in terms of the Caputo fractional derivative is presented in this paper. The performance index (PI) is considered in a quadratic form. The necessary and transversality...

  • Article
  • Open Access
2 Citations
4,046 Views
20 Pages

In this paper, we introduce the new notion of Suzuki-type ( α , β , θ , γ ) -contractive mapping and investigate the existence and uniqueness of the best proximity point for such mappings in non-Archimedean modular metric space using the weak...

  • Article
  • Open Access
17 Citations
4,229 Views
20 Pages

The main objective of this paper is to deal with some properties of interest in two types of fuzzy ordered proximal contractions of cyclic self-mappings T integrated in a pair ( g , T ) of mappings. In particular, g is a n...

  • Article
  • Open Access
8 Citations
4,445 Views
13 Pages

27 March 2017

In the present paper, we consider the large scale Stein matrix equation with a low-rank constant term A X B − X + E F T = 0 . These matrix equations appear in many applications in discrete-time control problems, filtering and image restorati...

  • Article
  • Open Access
343 Citations
21,251 Views
7 Pages

A Generalization of b-Metric Space and Some Fixed Point Theorems

  • Tayyab Kamran,
  • Maria Samreen and
  • Qurat UL Ain

23 March 2017

In this paper, inspired by the concept of b-metric space, we introduce the concept of extended b-metric space. We also establish some fixed point theorems for self-mappings defined on such spaces. Our results extend/generalize many pre-existing resul...

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Mathematics - ISSN 2227-7390