Approximation of an Additive ϱ1, ϱ2-Random Operator Inequality. (18th February 2020)

• Record Type: Journal Article
• Authors: Jang, Sun Young; Saadati, Reza
• Other Names: Fiorenza Alberto Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-02-18
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/7540303
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We solve the additive ϱ 1, ϱ 2 -random operator inequality ξ t T ω, u + v − T ω, u − T ω, v ≥ κ M ξ t ϱ 1 T ω, u + v + T ω, u − v − 2 T ω, u, ξ t ϱ 2 2 T ω, u + v / 2 − T ω, u − T ω, v, in which ϱ 1, ϱ 2 ∈ ℂ are fixed and max 2 ϱ 1, ϱ 2 < 1 . Finally, we get an approximation of the mentioned additive ϱ 1, ϱ 2 -random operator inequality by direct technique.