An abstract point of view on iterative approximation schemes of fixed points for multivalued operators
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Authors
Adrian Petruşel
- Department of Mathematics, Babeş-Bolyai University, Kogalniceanu Street no. 1, 400084 Cluj-Napoca, Romania.
Ioan A. Rus
- Department of Mathematics, Babeş-Bolyai University, Kogalniceanu Street no. 1, 400084 Cluj-Napoca, Romania.
Abstract
In this paper we will present an abstract point of view on iterative approximation schemes of fixed points for
multivalued operators. More precisely, we suppose that the algorithms are convergent and we will study the
impact of this hypothesis in the theory of operatorial inclusiosns: data dependence, stability and Gronwall
type lemmas. Some open problems are also presented.
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ISRP Style
Adrian Petruşel, Ioan A. Rus, An abstract point of view on iterative approximation schemes of fixed points for multivalued operators, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 2, 97--107
AMA Style
Petruşel Adrian, Rus Ioan A., An abstract point of view on iterative approximation schemes of fixed points for multivalued operators. J. Nonlinear Sci. Appl. (2013); 6(2):97--107
Chicago/Turabian Style
Petruşel, Adrian, Rus, Ioan A.. "An abstract point of view on iterative approximation schemes of fixed points for multivalued operators." Journal of Nonlinear Sciences and Applications, 6, no. 2 (2013): 97--107
Keywords
- multivalued operator
- fixed point
- strict fixed point
- iterative scheme
- multivalued Picard operator
- multivalued weakly Picard operator.
MSC
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