Title of article :
An abstract point of view on iterative approximation schemes of fixed points for multivalued operators
Author/Authors :
Petrusel ، Adrian - Babe s-Bolyai University , Rus ، Ioan A. - Babes-Bolyai University
Abstract :
In this paper we will present an abstract point of view on iterative approximation schemes of xed 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.
Keywords :
multivalued operator , fixed point , strict fixed point , iterative scheme , multivalued Picard operator , multivalued weakly Picard operator
Journal title :
Journal of Nonlinear Science and Applications
Journal title :
Journal of Nonlinear Science and Applications