Via using the hybrid method, strong convergence theorems were established for an infinite family of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense and mixed equilibrium problems with a relaxed η-α-monotone mapping in a strictly convex and uniformly smooth Banach space with the Kadec-Klee property. The results presented extended and improved some recent known results.%在严格凸、一致光滑且具Kadec-Klee性质的Banach空间中,用混合方法建立了一无限簇依中间意义渐近拟-ϕ-非扩张映像和含松弛η-α-单调映像的混合平衡问题的强收敛定理。所得结论推广了近期文献中的一些已知结果。
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