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Global Dynamical Systems Involving Generalized f-Projection Operators and Set-Valued Perturbation in Banach Spaces.
- Source :
-
Journal of Applied Mathematics . 2012, p1-12. 12p. - Publication Year :
- 2012
-
Abstract
- A new class of generalized dynamical systems involving generalized f -projection operators is introduced and studied in Banach spaces. By using the fixed-point theorem due to Nadler, the equilibrium points set of this class of generalized global dynamical systems is proved to be nonempty and closed under some suitable conditions. Moreover, the solutions set of the systems with set-valued perturbation is showed to be continuous with respect to the initial value. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1110757X
- Database :
- Academic Search Index
- Journal :
- Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 84861983
- Full Text :
- https://doi.org/10.1155/2012/682465