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Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces

Abbas Mujahid, Iqbal Hira, de la Sen Manuel

Demonstratio Mathematica

2019

Vol. 52, nr 1

347--360

We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT(0) space. Under certain appropriate conditions on parameters, we show that such a sequence converges strongly to a fixed point of the mapping which solves a variational inequality. We also present some convergence results for the implicit viscosity approximation method in complete R-trees without the endpoint condition.