The characteristic of noncompact convexity and random fixed point theorem for set-valued operators

Title:

The characteristic of noncompact convexity and random fixed point theorem for set-valued operators

Creator:

Kumam, Poom and Plubtieng, Somyot

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:21be1b2e-61c9-4d58-8f59-122c713b9444
uuid:21be1b2e-61c9-4d58-8f59-122c713b9444

Subject:

random fixed point, set-valued random operato, and measure of noncompactness

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Let $(\Omega ,\Sigma )$ be a measurable space, $X$ a Banach space whose characteristic of noncompact convexity is less than 1, $C$ a bounded closed convex subset of $X$, $KC(C)$ the family of all compact convex subsets of $C.$ We prove that a set-valued nonexpansive mapping $T\: C\rightarrow KC(C)$ has a fixed point. Furthermore, if $X$ is separable then we also prove that a set-valued nonexpansive operator $T\: \Omega \times C\rightarrow KC(C)$ has a random fixed point.

Language:

English

Rights:

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

Coverage:

269-279

Source:

Czechoslovak Mathematical Journal | 2007 Volume:57 | Number:1

Harvested from:

CDK

Metadata only:

false