On Nonhomogeneous Second Order Difference Inclusions of Accretive Type in Banach Spaces. (11th June 2018)

• Record Type: Journal Article
• Authors: Jamshidnezhad, Parisa; Saeidi, Shahram
• Is Part Of: Numerical functional analysis and optimization. Volume 39:Number 8(2018)
• Page Start: 894
• Page End: 920
• Publication Date: 2018-06-11
• Subjects: Asymptotic behaviour -- m-accretive operator -- nonhomogeneous difference equation -- periodic solution -- uniformly smooth Banach space; 39A12 -- 47H05; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2018.1431929
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this paper, we investigate the existence, uniqueness and asymptotic behavior of solutions to a nonhomogeneous second order difference inclusion of accretive type in Banach spaces. We develop new methods and significantly extend and improve some known results in the literature. Our conclusions are new even for Hilbert spaces.