
Mohammed Y. Abed- University of Kerbala
Mohammed Y. Abed
- University of Kerbala
PhD Professor (Assistant) at university of kerbala
About
4
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Introduction
Mohammed Y. Abed currently works at the Department of Mathematics, University of Kerbala. Mohammed does research in Topology and Functional Analysis.
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Current institution
Publications
Publications (4)
This paper aims to introduce a new form of orthogonality in the real normed space. This new orthogonality depends on a norm derivative concept. Some of its substantial characteristics are present, also we use this relation to define -angular property.
This article aims to study some other properties of - orthogonality. We explain the relation between - orthogonality and semi_inner_product_ space ( s_ i_ p_ s) in real norm space. Also we explain the concept of -quasi-inner product space ( - q- i. p. s) and consequences relative to a new notion are studied.
We introduce and study a generalized approximate orthogonality relation in real normed linear spaces, namely, approximate ρvλ-orthogonality. We investigate the relation between this generalized approximate orthogonality and approximate Birkhoff–James orthogonality. In particular, we show that every approximately ρvλ-orthogonality-preserving linear...
We introduce a generalized orthogonality relation in real normed linear spaces via norm derivatives. The relation between this concept and other types of orthogonalities such as Birkhoff–James orthogonality and orthogonality relations connected with norm derivatives is investigated. As an application, some new characterizations of smooth real norme...