ON THE BEST APPROXIMATION FOR A 2-HYPERPLANE IN 2-INNER PRODUCT SPACES

Abstract

Recently, some results on best approximation theory in linear 2-normed spaces have been obtained by Y. J. Cho, S. Elumalai, S. S. Kim, Sh. Rezapour and others (see [2], [4], [6], [11], [1], [13]). These papers are based on the research works in normed linear spaces made by I. Singer ([12]), S. S. Dragomir ([3]), and others. The concept which is closely related to 2-normed linear space is 2-inner product space that introduced by Diminnie, Gahler and White in 1973