Iterative Methods for General Mixed Quasivariational Inequalities

M. A. Noor
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M. A. Noor: Etisalat College of Engineering

Journal of Optimization Theory and Applications, 2003, vol. 119, issue 1, No 8, 123-136

Abstract: Abstract It is well known that mixed quasivariational inequalities are equivalent to implicit fixed-point problems. We use this alternative equivalent formulation to suggest and analyze a new self-adaptive resolvent method for solving mixed quasivariational inequalities in conjunction with a technique updating the solution. We show that the convergence of this method requires pseudomonotonicity, which is a weaker condition than monotonicity. Since mixed quasivariational inequalities include various classes of variational inequalities as special cases, our results continue to hold for these problems.

Keywords: Mixed quasivariational inequalities; fixed points; iterative methods; convergence analysis (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (4)

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DOI: 10.1023/B:JOTA.0000005044.11591.bd

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