Product-Normed Linear Spaces
Keywords:product-normed linear space, product-semi-normed linear space, completeness, fixed point theorem.
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.
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