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In this paper, we consider an iterative algorithm for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a nonexpansive mapping. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above two sets under some mild conditions imposed on… (More)

- Mengqin Li, Yonghong Yao
- 2010

Let H be a real Hilbert space. Let T : H → H be a λ-strictly pseudo-contractive mapping. Let {αn} and {βn} be two real sequences in (0, 1). For given x0 ∈ H, let the sequence {xn} be generated iteratively by xn+1 = (1 − αn − βn)xn + βnT xn, n ≥ 0. Under some mild conditions on parameters {αn} and {βn}, we prove that the sequence {xn} converges strongly to a… (More)

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