Product-Normed Linear Spaces

Authors

  • Benedict Barnes KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY
  • I. A. Adjei
  • S. K. Amponsah
  • E. Harris

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i3.3284

Keywords:

product-normed linear space, product-semi-normed linear space, completeness, fixed point theorem.

Abstract

In this paper, both the product-normed linear space $P-NLS$ (product-Banach space) and
product-semi-normed linear space (product-semi-Banch space) are introduced.
These normed linear spaces are endowed with the first and second product inequalities,
which have a lot of applications in linear algebra and differential equations. In addition,
we showed that $P-NLS$ admits functional properties such as completeness, continuity and
the fixed point.



Author Biography

Benedict Barnes, KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY

MATHEMATICS DEPARTMENT

LECTURER

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Published

2018-07-31

How to Cite

Barnes, B., Adjei, I. A., Amponsah, S. K., & Harris, E. (2018). Product-Normed Linear Spaces. European Journal of Pure and Applied Mathematics, 11(3), 740–750. https://doi.org/10.29020/nybg.ejpam.v11i3.3284

Issue

Vol. 11 No. 3: (July 2018)

Section

Functional Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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