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The purpose of this paper is to introduce and analyze a weakly convergent theorem by using the regularized method and the relaxed extragradient method for finding a common element of the solution set Γ of the split feasibility problem and Fix ( T ) of fixed points of asymptotically quasi-nonexpansive mappings T in the setting of infinite-dimensional Hilbert spaces.
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Further, by using the generalized regularized gap function we obtain global error bounds of solutions of random generalized variational inequalities with and without a Lipschitz continuity assumption.
We consider large-scale topology optimization of elastic continua in 3D using the regularized intermediate density control introduced in [1].
The realization was that his statement could be tested using the regularized inner product.
Read count normalization was performed using the regularized logarithm (rlog) method provided in DESeq2.
The problem of matrix singularity for this class of systems is solved by using the property of the regularized inverse and by introducing a compensator term in the proposed control law.
Then, we will extend the maximum principle in [14, 17] to the regularized surface quasi-geostrophic equation by using the method of Khouider and Titi [6].
By using the obtained equivalence formulations, we prove the existence of a unique solution for the regularized nonconvex variational inequalities and propose some projection iterative schemes for solving the regularized nonconvex variational inequalities.
In Section 3, by using the asymptotic for the eigenvalues, we prove that the series called "a regularized trace" converges absolutely (Lemma 3.1).
Further by using the residual vector we compute error bounds for random generalized variational inequality problems and we generalize the regularized gap functions proposed by Fukushima.
Preliminary 2D investigations are also conducted by using a regularized version of the adopted formulation.
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