Title of article :
A New System of Nonlinear Variational Inclusions with (Ai,ηi)-Accretive Operators in Banach Spaces Fengrong Zhang, Zeqing Liu, Shin Min Kang and Young Chel Kwun
Author/Authors :
Zhang, Fengrong Dalian Polytechnic University - College of Information Science and Engineering, China , Liu, Zeqing Liaoning Normal University - Department of Mathematics, China , Kang, Shin Min Gyeongsang National University - Department of Mathematics and RINS, Korea , Kwun, Young Chel Dong-A University - Department of Mathematics, Korea
Abstract :
In this paper, we introduce and study a new system of nonlinear variational inclusions with (A,η)-accretive operators in Banach spaces. Using the resolvent operator technique associated with (A,η)-accretive operator, we prove the existence and uniqueness of solutions for the system of nonlinear variational inclusions, construct a Mann iterative algorithm with errors for solving the system of nonlinear variational inclusions and discuss the convergence of the iterative sequence generated by the algorithm.
Keywords :
(A , ηi) , accretive operator , resolvent operator technique , system of nonlinear variational inclusions , iterative algorithm.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
