A SELF-ADAPTIVE PROJECTION METHOD FOR A CLASS OF VARIANT VARIATIONAL INEQUALITIES

作者：Bnouhachem Abdellah^*; Noor Muhammad Aslam; Khalfaoui Mohamed; Sheng Zhaohan

来源：Journal of Mathematical Inequalities, 2011, 5(1): 117-129.

DOI：10.7153/jmi-05-11

• Variational inequalities
• self-adaptive rules
• projection method

In this paper, we consider the general variant variational inequality of the type: Find a vector u* is an element of R(n), such that Q(u*) is an element of Omega, < v - Q(u*),Tu*> >= 0, for all nu is an element of Omega, where T, Q are operators. We suggest and analyze a very simple self-adaptive iterative method for solving this class of general variational inequalities. Under certain conditions, the global convergence of the proposed method is proved. An example is given to illustrate the efficiency and implementation of the proposed method. Preliminary numerical results show that the proposed method is applicable.

• 出版日期2011-3
• 单位南京大学