Albanian Journal of Mathematics (ISNN: 1930-1235), Vol 4, No 3 (2010)

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Three-step Projection Methods for Nonconvex Variational Inequalities

Muhammad Aslam Noor

Abstract


It is well-known that the nonconvex
variational  inequalities are equivalent to the fixed point problems. We
use this  equivalent formulation to suggest and analyze some three-step
iterative  methods for solving the nonconvex variational inequalities.
We prove the convergence  of the three-step iterative methods under
suitable weaker conditions.  Several special cases are also discussed.
Our method of  proof is  very simple.

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