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Viscosity Approximation Methods for * −Nonexpansive Multi-Valued Mappings in Convex Metric Spaces

1
Faculty of Mathematics, K. N. Toosi University of Technology, Tehran 16569, Iran
2
Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Spain
3
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. View Full-Text
Keywords: *−nonexpansive multi-valued mapping; viscosity approximation methods; fixed point; convex metric space *−nonexpansive multi-valued mapping; viscosity approximation methods; fixed point; convex metric space
MDPI and ACS Style

Ghanifard, A.; Masiha, H.P.; De La Sen, M.; Ramezani, M. Viscosity Approximation Methods for * −Nonexpansive Multi-Valued Mappings in Convex Metric Spaces. Axioms 2020, 9, 10.

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