Open AccessA New Notion of g-Angle in Normed
Author(s) -
Muh. Nur,
Mawardi Bahri,
Anna Islamiyati
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2123/1/012020
Subject(s) - orthogonality , normed vector space , convexity , space (punctuation) , mathematics , strictly convex space , normed algebra , discrete mathematics , pure mathematics , computer science , algebra over a field , geometry , regular polygon , convex analysis , operating system , current algebra , jordan algebra , convex optimization , financial economics , economics
We discuss the g -orthogonality (⊥ g ) and its basic properties in a normed space. We also define a new g -angle between two vectors and prove its basic properties by using the g -orthogonality (⊥ g ). Moreover, we prove the sufficient and necessary conditions for strictly convexity in a normed space by using a new g -angle.