Author:
Al-Juboory Raad safah Abood,Al-Shara’a Iftichar M. T.
Abstract
Abstract
Let (M, d) be a compact metric @-space, Φ : M → M be a continuous map. This paper aims to study the idea of the sequence-asymptotic average shadowing property ( {si
}-AASP ) for a continuous map on-space, ( {si:i≥1} be a given positive integers sequence, where s
0 = 0 ) and achieves the relative of the {si
}-AASP with the sequence AASP ( {si
}-AASP ). We prove that if (M, d) are metric 1-spaces, (X, d) then metric 2-spaces and ƒ : 1 χ → Μ, ψ : 2 x Χ → Χ are continuous maps, then ƒ has the 1 {si
}-AASP and ψ has the 2{si
}-AASP if and only if the product ƒ x ψ has the 1 x 2{si
}-AASP. Also, we show that if Φ has the {si
}-AASP then Φ is-chain transitive.
Subject
General Physics and Astronomy
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