Open Access
Original Articles
Attractors for Multifunctions Created by Semi-Dynamical Systems
M.R. Molaeimrmolaei@mail.uk.ac.irDepartment of MathematicsShahid Bahonar University of KermanKerman, IranView full profile → , T. Waezizadehwaezizadeh@yahoo.comDepartment of MathematicsShahid Bahonar University of KermanKerman, IranView full profile →
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- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2008.10698555
- Pages:
- 177–184
Abstract
In this paper by using of semi-bornnology the notion of semi-bornological attractors for semi-dynamical systems is studied. It is proved that: this concept of attractor is invariant up to a special kind of lower semi-continuous multifunctions. Attractors for semi-dynamical systems on vectorical spaces are studied. The notion of semi-bornological stability is presented. It is proved that: the semi-bornological conjugacy preserves attractor. The notion of chaotic multifunction is considered.
Keywords
References
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- Molaei, M.R.2005 . , Hadronic Press .
- Molaei, M.R. and Waezizadeh, T.2008 . Repellers for Multifunctions of Semi-bornological Spaces . , 28 ( 3 ) : 545 – 550 .
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