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In this paper, we introduce an implicit algorithm for finding a common fixed point of two quasi-nonexpansive multivalued mappings in Banach spaces. We also prove some convergence theorems for the purposed algorithm under some control conditions. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a general iterative process with errors for a finite family of quasi-nonexpansive multi-valued mappings and prove some strong and weak convergence theorems for such mappings in uniformly convex Banach spaces. Our results are generalizations as well as refinement of several known results in the current literature. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, we consider an implicit iteration process to approximate the common fixed points of two finite families of asymptotically quasi-nonexpansive mappings in convex metric spaces. As a consequence of our result, we obtain some related convergence theorems. Our results generalize some recent results of Khan and Ahmed , Khan et al. , Sun , Wittmann and Xu and Ori . [Copyright &y& Elsevier]

Abstract: We consider an implicit iterative process for two finite families of mappings in a real Banach space and prove strong convergence results without using the Lipschitz condition on mappings. Our results mainly improve and extend the recent results of Chang et al. (2001, 2009, 2007) , Cho et al. (2005) , Gu (2008) , Ofoedu (2006) , Schu (1991) , Zeng (2003, 2005) , and Qin et al. (2008) . [Copyright &y& Elsevier]

Abstract: In this paper, we introduce a new one-step iterative process to compute the common fixed points of two multivalued nonexpansive mappings. Furthermore, we also prove some strong and weak convergence theorems in uniformly convex Banach spaces. [Copyright &y& Elsevier]