Abstract
We prove strong convergence of the viscosity approximation process for nonexpansive nonself multimaps. Furthermore, an explicit iteration process which converges strongly to a fixed point of multimap T is constructed. It is worth mentioning that, unlike other authors, we do not impose the condition “Tz = “z”” on the map T.
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Zegeye, H., Shahzad, N. Viscosity approximation methods for nonexpansive multimaps in Banach spaces. Acta. Math. Sin.-English Ser. 26, 1165–1176 (2010). https://doi.org/10.1007/s10114-010-7521-0
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DOI: https://doi.org/10.1007/s10114-010-7521-0