The distance between fixed points of some pairs of maps in Banach spaces and applications to differential systems

Title:

The distance between fixed points of some pairs of maps in Banach spaces and applications to differential systems

Creator:

Mortici, Cristinel

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8563efe2-c34b-415c-930b-13fc13c2ed14
uuid:8563efe2-c34b-415c-930b-13fc13c2ed14

Subject:

contraction principle and Cauchy problem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let $T$ be a $\gamma $-contraction on a Banach space $Y$ and let $S$ be an almost $\gamma $-contraction, i.e. sum of an $\left( \varepsilon ,\gamma \right) $-contraction with a continuous, bounded function which is less than $\varepsilon $ in norm. According to the contraction principle, there is a unique element $u$ in $Y$ for which $u=Tu.$ If moreover there exists $v$ in $Y$ with $v=Sv$, then we will give estimates for $\Vert u-v\Vert .$ Finally, we establish some inequalities related to the Cauchy problem.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

689-695

Source:

Czechoslovak Mathematical Journal | 2006 Volume:56 | Number:2

Harvested from:

CDK

Metadata only:

false