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Mohsen Alimohammady

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 011-35302462

Research

Title
B α, β-Operator and Fitzpatrick Functions
Type
JournalPaper
Keywords
α, β-Operator
Year
2017
Journal Jordan Journal of Mathematics and Statistics
DOI
Researchers Ayed Alhashosh ، Mohsen Alimohammady

Abstract

In this paper, we introduce Bα, β-operator as a new techniqne to generalize Fitzpatrick functions. We study the properties of this new operator, such as convexity, weak∗-closedness, locally boundedness and Fenchel duality. Furthermore, we present new concept that is Cα n-monotone bifunction. By the application of the new operator, we prove that ψβ, n (x, x∗)=〈 x∗, x〉∀(x, x∗)∈ G (Bα, β), for each n≥ 2. This equation is a generalization for a known result which is studied by many researchers.