Resolvent Algorithms for Mixed Quasivariational Inequalities |
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Authors: | Noor M A |
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Institution: | 1. Etisalat College of Engineering, Sharjah, United Arab Emirates
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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. |
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