Some iterative methods for nonconvex variational inequalities |
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Authors: | Muhammad Aslam Noor |
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Institution: | 1.Mathematics Department,COMSATS Institute of Information Technology,Islamabad,Pakistan |
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Abstract: | It is well known that the nonconvex variational inequalities are equivalent to the fixed point problems. We use this equivalent
alternative formulation to suggest and analyze a new class of two-step iterative methods for solving the nonconvex variational
inequalities. We discuss the convergence of the iterative method under suitable conditions. We also introduce a new class
of Wiener – Hopf equations. We establish the equivalence between the nonconvex variational inequalities and the Wiener – Hopf
equations. This alternative equivalent formulation is used to suggest some iterative methods. We also consider the convergence
analysis of these iterative methods. Our method of proofs is very simple compared to other techniques. |
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Keywords: | |
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