Abstract
In this paper, we introduce and study a system of variational inclusions called system of generalized set-valued variational-like inclusion problem involving (A(., .), η)-monotone mappings in real Banach spaces. By means of resolvent operator technique, we prove the existence of solutions for this system of variational inclusions. Further, we suggest an iterative algorithm for finding the approximate solution of this system and discuss the convergence criteria of the sequences generated by the iterative algorithm under some suitable conditions.
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