文献类型：期刊文献

中文题名：Banach空间中一簇依中间意义渐近拟-Φ-非扩张映像和平衡问题的强收敛定理

英文题名：Strong convergence theorems for an infinite family of asymptotically quasi-Φ-nonexpansive mappings in the intermediate sense and equilibrium problems in Banach spaces

作者：金坚帅[1,2];倪仁兴[2,1]

机构：[1]浙江师范大学数理与信息工程学院;[2]绍兴文理学院数学系

年份：2015

卷号：38

期号：2

起止页码：163

中文期刊名：浙江师范大学学报：自然科学版

收录：CSTPCD

基金：国家自然科学基金资助项目(10971194);浙江省教育厅科研项目(Y201122300)

语种：中文

中文关键词：依中间意义渐近拟-Φ-非扩张映像;广义投影;平衡问题;松弛η-α-单调;不动点

外文关键词：asymptotically quasi-φ-nonexpansive mapping in the intermediate sense; generalized projection;equilibrium problem; relaxed η-φ-monotone; fixed point

中文摘要：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.

外文摘要：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-φ-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.