Projection Methods for Exponentially Regularized Nonconvex Variational Inequalities

This paper proposes a new exponentially regularized nonconvex variational inequality. The paper shows that the inequalities are equivalent to fixed point problems through the use of the projection properties. The paper develops a new self-adaptive projection iterative algorithm that not only dynamically adjusts the step size but also optimizes the projection direction, thereby improving the stability and convergence of the algorithm.

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