The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces
Authors:
Open Access
- 24 October 2015
- journal article
- Published by Springer Nature in Fixed Point Theory and Applications
- Vol. 2015 (1) , 1
Abstract
The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces are established. The strong convergence theorems of the rules are proved under certain assumptions imposed on the sequences of parameters. The results presented in this paper extend and improve the main results of Refs. (Moudafi in J. Math. Anal. Appl. 241:46-55, 2000; Xu et al. in Fixed Point Theory Appl. 2015:41, 2015). Moreover, applications to a more general system of variational inequalities, the constrained convex minimization problem and K-mapping are included.Keywords
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