中文摘要：

在一致光滑和2-一致凸Banach空间框架下，引入广义杂交投影算法，建立了该算法强收敛于3个集合（平衡问题的解集、变分不等式的解集和两闭拟Ф-非扩张映射公共不动点集）的公共解的新结果．所得结果本质改进和推广了2005年Matsushita和Takahashi、2009年Qin X L，Cho Y Je和Kang S M等人的相应新结果．

英文摘要：

By using generalized hybrid projection algorithms methods, strong convergence results of common solutions for three sets of solutions （those to an equilibrium problem, those to variational inequalities, and those to common fixed points for two closed quassi - φ - nonexpansive mapping） are established in 2 - uniformly convex and uniformly smooth Banach space. These results improve and extend the corresponding results of Matsushita and Takahashi obtained in 2005, Qin, Cho and Kang obtained in 2009.