A hybrid regularization model for linear inverse problems

For the ill-posed linear inverse problem, we propose a hybrid regularization model, which possesses characters of Tikhonov and TV to some extent. Through transformation, is reformulated as an equivalent minimization problem. To solve present two modified iterative shrinkage-thresholding algorithms (MISTA) based on fast algorithm (FISTA) shrinkagethresholding (ISTA). The numerical experiments are performed show effectiveness superiority model presented algorithms.