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Set-valued quasi variational inclusions

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Abstract

In this paper, we introduce and study a new class of variational inclusions, called the set-valued quasi variational inclusions. The resolvent operator technique is used to establish the equivalence between the set-valued quasi variational inclusions and the fixed point problem. This equivalence is used to study the existence of a solution and to suggest a number of iterative algorithms for solving the set-valued variational inclusions. We also study the convergence criteria of these algorithms.

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  1. Department of Mathematics & Statistics, Dalhousie University, Halifax, Nova Scotia, Canada

    Muhammad Aslam Noor

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  1. Muhammad Aslam Noor
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Noor, M.A. Set-valued quasi variational inclusions. Korean J. Comput. & Appl. Math 7, 101–113 (2000). https://doi.org/10.1007/BF03009930

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