This paper presents a class of generalized global dynamical system involving (H,η) set-valued monotone mappings and a set-valued function induced by a closed fuzzy mapping in Hilbert spaces. By using the resolvent operator technique and Nadler fixed-point theorem, we prove the equilibrium point set is not empty and closed. Furthermore, we develop a new iterative scheme which generates a Cauchy sequence strongly converging to an equilibrium point. © 2012 Springer-Verlag.
CITATION STYLE
Zou, Y. Z., Wu, X. K., Zhang, W. B., & Sun, C. Y. (2012). An iterative method for a class of generalized global dynamical system involving fuzzy mappings in Hilbert spaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7666 LNCS, pp. 44–51). https://doi.org/10.1007/978-3-642-34478-7_6
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