A New Iterative Method for Solving General Mixed Variational Inequalities

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Shi, Chaofeng (2008) A New Iterative Method for Solving General Mixed Variational Inequalities. Research report collection, 11 (3).


The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To overcome this disadvantage, Abedellah Bnouhachem present a self-adaptive iterative method. In this paper, we present a new self-adaptive method which can be viewed as a refinement and improvement of the method of Bnouhachem. Global convergence of the new method is proved under the same assumptions as Bnouhachem’s method. Some preliminary computational results are given to show the efficiency of the proposed method.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17629
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords general mixed variational inequalities, self-adaptive rules, resolvent operator
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