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In this paper, we introduce two general algorithms (one implicit and one explicit) for finding a common element of the set of an equilibrium problem and the set of common fixed points of a nonexpansive semigroup {T (s)} s≥0 in Hilbert spaces. We prove that both approaches converge strongly to a common element x * of the set of the equilibrium points and the… (More)

- Youli Yu, Ching-Feng Wen, Y Yao
- 2016

A modified iterative algorithm is presented based on the semi-implicit midpoint rule. Strong convergence analysis is demonstrated. Our method gives a unified framework related to the implicit midpoint rule. Our results improve and extend the corresponding results in the literature.

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