Viscosity Approximation Methods for
−Nonexpansive Multi-Valued Mappings in Convex Metric Spaces
Faculty of Mathematics, K. N. Toosi University of Technology, Tehran 16569, Iran
Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Spain
Department of Mathematics, University of Bojnord, Bojnord 94531, Iran
Author to whom correspondence should be addressed.
Axioms 2020, 9(1), 10; https://doi.org/10.3390/axioms9010010
Received: 12 December 2019 / Revised: 11 January 2020 / Accepted: 12 January 2020 / Published: 17 January 2020
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
In this paper, we prove convergence theorems for viscosity approximation processes involving
−nonexpansive multi-valued mappings in complete convex metric spaces. We also consider finite and infinite families of such mappings and prove convergence of the proposed iteration schemes to common fixed points of them. Our results improve and extend some corresponding results.