Asymptotic properties of some non-autonomous systems in Banach spaces
- 作者：Behzad Djafari Rouhani
- 关键词：Asymptotic behavior ; Weakly almost nonexpansive sequence ; Almost nonexpansive curve ; Accretive operator ; Dissipative system ; Weak ω ; -limit set
- 刊名：Journal of Differential Equations
- 出版年：2006
- 期刊代码：74_00220396
- 类别：mt
- 出版时间：15 October 2006
- 卷：229
- 期：2
- 页码：412-425
- 文件大小：152 K
摘要
Let X be a reflexive Banach space. We introduce the notion of weakly almost nonexpansive sequences me="mml1">method=retrieve&_udi=B6WJ2-4KKNNJF-4&_mathId=mml1&_user=10&_cdi=6866&_rdoc=3&_handle=V-WA-A-W-AZ-MsSWYVW-UUW-U-AAZCWECAYW-AAZWYDCEYW-VBWWUWZY-AZ-U&_acct=C000050221&_version=1&_userid=10&md5=136dcea66177821cfcefdb0d8c4a7868" title="Click to view the MathML source">(xn)n0 in X, and study their asymptotic behavior by showing that the nonempty weak ω-limit set of the sequence me="mml2">method=retrieve&_udi=B6WJ2-4KKNNJF-4&_mathId=mml2&_user=10&_cdi=6866&_rdoc=3&_handle=V-WA-A-W-AZ-MsSWYVW-UUW-U-AAZCWECAYW-AAZWYDCEYW-VBWWUWZY-AZ-U&_acct=C000050221&_version=1&_userid=10&md5=1de1956ebc2d176f2788d1b55d09229a" title="Click to view the MathML source">(xn/n)n1 always lies on a convex subset of a sphere centered at the origin of radius me="mml3">method=retrieve&_udi=B6WJ2-4KKNNJF-4&_mathId=mml3&_user=10&_cdi=6866&_rdoc=3&_handle=V-WA-A-W-AZ-MsSWYVW-UUW-U-AAZCWECAYW-AAZWYDCEYW-VBWWUWZY-AZ-U&_acct=C000050221&_version=1&_userid=10&md5=4204d5de9215b150b2de3d5b40a7b433" title="Click to view the MathML source">d