Abstract
Tensor complementarity problem (TCP) has attracted many attentions in recent years. In this paper, we equivalently reformulate tensor complementarity problem as a fixed point equation. Based on the fixed point equation, projected fixed point iterative methods are proposed and corresponding convergence proofs on the fixed point iterative methods for the tensor complementarity problem associated with a power Lipschitz tensor are investigated. Furthermore, the monotone convergence analysis of the fixed point iteration method for the tensor complementarity problem involving an $${\mathcal {L}}$$ tensor is given. Numerical examples are tested to illustrate the given approach.
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