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On a regularization method for variational inequalities with P_0 mappings

Igor Konnov, Elena Mazurkevich, Mohamed Ali (2005)

International Journal of Applied Mathematics and Computer Science

We consider partial Browder-Tikhonov regularization techniques for variational inequality problems with P_0 cost mappings and box-constrained feasible sets. We present classes of economic equilibrium problems which satisfy such assumptions and propose a regularization method for these problems.

On Morozov's method for Tikhonov regularization as an optimal order yielding algorithm.

Nair, M.T. (1999)

Zeitschrift für Analysis und ihre Anwendungen

On the convergence of semiiterative methods to the Drazin inverse solution of linear equations in Banach spaces.

Nieves Castro González (1995)

Collectanea Mathematica

On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations

Ioannis K. Argyros, Santhosh George (2013)

Applicationes Mathematicae

We present new semilocal convergence conditions for a two-step Newton-like projection method of Lavrentiev regularization for solving ill-posed equations in a Hilbert space setting. The new convergence conditions are weaker than in earlier studies. Examples are presented to show that older convergence conditions are not satisfied but the new conditions are satisfied.

Optimal order yielding discrepancy principle for simplified regularization in Hilbert scales: finite-dimensional realizations.

George, Santhosh, Nair, M.Thamban (2004)

International Journal of Mathematics and Mathematical Sciences