Resolvent Algorithms for 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 9, 137-149

Abstract: Abstract It is well known that mixed quasivariational inequalities are equivalent to implicit resolvent equations. We use this alternative equivalent formulation to suggest and analyze a new modified resolvent method for solving mixed quasivariational inequalities and related problems. We show that the convergence of this modified method requires only pseudomonotonicity, which is a weaker condition than monotonicity. Since mixed quasivariational inequalities include various classes of variational inequalities as special cases, our result continues to hold for these problems.

Keywords: Mixed quasivariational inequalities; fixed points; resolvent equations; iterative methods; convergence analysis (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/B:JOTA.0000005045.32773.37

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