Spaces Over Non-Newtonian Numbers


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Authors

  • Pranav Sharma Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India
  • Sanjay Mishra Department of Mathematics, Lovely Professional University, Phagwara, Punjab, India

Keywords:

Non-Newtonian numbers, Ordered vector space, $*_{\gamma}$-Banach space

Abstract

We construct the spaces of non-Newtonian numbers using some new operations between them. Then we define generalized metric and generalized norm on the set of non-Newtonian numbers which attains the value as a non-negative non-Newtonian real number (depending on system of measurement) rather than non-negative real. Further, we have studied some order and convergence structures on these spaces.

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Published

01-09-2016

How to Cite

Pranav Sharma, & Sanjay Mishra. (2016). Spaces Over Non-Newtonian Numbers. International Journal of Mathematics And Its Applications, 4(3 - A), 9–18. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/968

Issue

Vol. 4 No. 3 - A (2016)

Section

Research Article

License

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