CQ METHOD FOR APPROXIMATING FIXED POINTS OF NONEXPANSIVE SEMIGROUPS AND STRICTLY PSEUDO-CONTRACTIVE MAPPINGS, By Hossein Piri

Research

Title	CQ METHOD FOR APPROXIMATING FIXED POINTS OF NONEXPANSIVE SEMIGROUPS AND STRICTLY PSEUDO-CONTRACTIVE MAPPINGS
Type	Article
Keywords	CQ method; amenable semigroup; pseudo-contraction mappings
Researchers	Hossein Piri، Samira Rahrovi

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.