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

Issue

Section

Functional Analysis

How to Cite

Product-Normed Linear Spaces. (2018). European Journal of Pure and Applied Mathematics, 11(3), 740-750. https://doi.org/10.29020/nybg.ejpam.v11i3.3284