A New System of Variational-like Inclusions With P-η-accretive Operators in Banach Spaces
Chao Zhang · Advances in Mathematics · 2013
In this paper,we introduce and study a new system of variational-like inclusions involving P-η-accretive operators in real q-uniformly smooth Banach spaces.By using the resolvent operator technique associated with P-η-accretive operators,we prove the existence and uniqueness of solution for this new system of variational-like inclusions and suggest a Mann iterative algorithm for approximating the solution of this system of variational-like inclusions.Furthermore,we discuss the convergence of the sequence of iterates generated by the iterative algorithm.The results presented in this paper extend and improve some known results in the literature.