An abstract point of view on iterative approximation schemes of fixed points for multivalued operators


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


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