Some Results on S-best Coapproximation in Linear 2-Normed Spaces

Abstract

The purpose of this paper is to discuss the new concept (S-best coapproximation in linear 2-normed spaces), we introduce the notions S-best coapproximation and S-orthogonality in the setting of linear 2-normed spaces. And then, some characterization and important thermos about existence of S-best coapproximation in convex subset of 2-normed linear spaces are proved