The purpose of this paper is to introduce and study a class of set-valued variational inclusions without compactness condition in Banach spaces. By using Michael's selection theorem and Nadler's theorem, an existence theorem and an iterative algorithm for solving this kind of set-valued variational inclusions in Banach spaces are established and suggested. ᮊ

The purpose of this paper is to introduce an iterative method for finding solutions of a general system of variational inclusions with inverse-strongly accretive mappings. Strong convergence theorems are established in uniformly convex and 2-uniformly smooth Banach spaces.

The purpose of this paper is to propose an algorithm for solvingthe split common fixed point problems for total asymptotically strictly pseudocontractive mappingsin infinite-dimensional Hilbert spaces. The results presented in the paper improve and extend some recent results of Moudafi (2011 and 2010), Xu (2010 and 2006), Censor and Segal (2009), Censor et al. (2005), Masad and Reich (2007), Censor et al. (2007), Yang (2004), and others.

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Abstract. Results generalizing and unifying fixed point theorems of Jungck, Ciric, Das, Naik, Rhoades and Leader are established.