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We consider a problem of solution of a multi-valued inclusion on a cone segment. In the case where the underlying mapping possesses Z type properties we suggest an extension of Gauss–Seidel algorithms from nonlinear equations. We prove convergence of a modified double iteration process under rather mild additional assumptions. Some results of numerical experiments are also presented.
We propose an extended version of Chandrasekaran’s method for general complementarity problems with multi-valued weakly off-diagonally antitone costmappings. It allows one either to construct a sequence converging to a solution or to recognize that the problem has no solutions. We also propose versions of Jacobi’s methods for multi-valued inclusions subject to one- and two-side constraints.
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