2022Advances in Fixed Point TheoryOpen access

ρ-Orthogonality properties in 2-normed space

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Abstract

In this paper, we define two 2-norm derivatives in 2-normed space and give some results. We use 2-norm derivatives to study the ρ-orthogonality in 2-normed space. We define ρ-orthogonality, ρ + -orthogonality, ρ - -orthogonality in 2-normed space and give some properties of it.

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What this paper is about

In this paper, we define two 2-norm derivatives in 2-normed space and give some results. We use 2-norm derivatives to study the ρ-orthogonality in 2-normed space. We define ρ-orthogonality, ρ + -orthogonality, ρ - -orthogonality in 2-normed space and give some properties of it.

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Available abstract

In this paper, we define two 2-norm derivatives in 2-normed space and give some results. We use 2-norm derivatives to study the ρ-orthogonality in 2-normed space. We define ρ-orthogonality, ρ + -orthogonality, ρ - -orthogonality in 2-normed space and give some properties of it.

Key concepts: Orthogonality, Normed vector space, Mathematics, Norm (philosophy), Space (punctuation), Pure mathematics, Discrete mathematics, Computer science

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