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  

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 倪仁兴[2,1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004 [2]绍兴文理学院数学系,浙江绍兴312000

出　　处：《浙江师范大学学报（自然科学版）》2015年第2期163-171,共9页Journal of Zhejiang Normal University:Natural Sciences

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)

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.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.

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 

分 类 号：O177.91[理学—数学]