BEST APPROXIMATION AND BEST CO - APPROXIMATION IN CONE - NORMED SPACE
Date
2018-05-18
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Publisher
An-Najah National University
Abstract
In this thesis, the concept of Best Approximation and Best Co-Approximation in cone – normed spaces are studied.
We noticed similarities between Best Approximation and Best Co–Approximation in cone–normed spaces.
We obtained new results among which, we proved that:
1. We can apply Best Approximation and Best Co-Approximation theorems in normed space to cone-normed space.
2. Best Co-Approximation in cone-normed space is a counter copy of Best Approximation in cone-normed space.
The concept of Proximinal additivity and ᶲc-Summand in cone–normed space are introduced. Also we have answered some questions about them.