CQ method for approximating fixed points of nonexpansive semigroups and strictly pseudo-contractive mappings

Hossein Piri, Samira Rahrovi

DOI: http://dx.doi.org/10.12775/TMNA.2017.014

Abstract


We use the CQ method for approximating a common fixed point of a left amenable semigroup of nonexpansive mappings, an infinite family of strictly pseudo-contraction mappings and the set of solutions of variational inequalities for monotone, Lipschitz-continuous mappings in a real Hilbert space. Our results are a generalization of a result announced by Nadezhkina and Takahashi [N. Nadezhkina and W. Takahashi, Strong convergence theorem by a hybrid method for nonexpansive mappings and Lipschitz-continuous monotone mappings, SIAM J. Optim. 16 (2006), 1230-1241] and some other recent results.

Keywords


CQ method; amenable semigroup; pseudo-contraction mappings

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