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Some Iterative Schemes for Solving Extended General Quasi Variational Inequalities |
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PP: 917-925 |
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Author(s) |
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Muhammad Aslam Noor,
Khalida Inayat Noor,
Awais Gul Khan,
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Abstract |
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| In this paper, we consider a new class of quasi variational inequalities involving three operators, which is called the extended
general quasi variational inequality. It is shown that the extended general quasi variational inequalities are equivalent to the fixed
problems. This equivalence is used to suggest and analyze some iterative methods for solving the extended general quasi variational
inequalities. Convergence analysis is also considered. We have also shown that the extended general quasi variational inequalities are
equivalent to the extended general implicit Wiener-Hopf equations. This alternative formulation is used to suggest and analyze some
iterative methods. The convergence analysis of these new methods under some suitable conditions is investigated. Several special
cases are discussed. Since the extended general quasi variational inequalities include general variational inequalities, quasi variational
inequalities and related optimization problems as special cases, results proved in this paper continue to hold for these problems. Results
of this paper may stimulate further research in this fascinating area. |
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