Product-Normed Linear Spaces

Benedict Barnes, I. A. Adjei, S. K. Amponsah, E. Harris

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.



Keywords

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

Full Text:

PDF