On an iterative algorithm for variational inequalities in Banach spaces

Yonghong Yao, Muhammad Aslam Noor, Khalida Inayat Noor, Yeong‐Cheng Liou · University of Zagreb University Computing Centre (SRCE) · 2011

In this paper, we suggest and analyze a new iterative method for solving some variational inequality involving an accretive operator in Banach spaces.We prove the strong convergence of the proposed iterative method under certain conditions.As a special of the proposed algorithm, we proved that the algorithm converges strongly to the minimum norm solution of some variational inequality.

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