Aequationes Mathematicae, ( ISI ), Volume (90), No (3), Year (2016-3) , Pages (647-659)

Title : ( Approximate Roberts orthogonality sets and (δ,ε)-(a, b)-isosceles-orthogonality preserving mappings )

Authors: Ali Zamani , Mohammad Sal Moslehian ,
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Abstract

We introduce the concept of the approximate Roberts orthogonality set and investigate the geometric properties of such sets. In addition, we introduce a notion of the approximate $a$-isosceles-orthogonality and consider class of mappings, which approximately preserve the $a$-isosceles-orthogonality.

Keywords

, Approximate Roberts orthogonality; Approximate parallelogram law; $a$, isosceles, orthogonality; Orthogonality preserving mappings