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Well-posedness, conditioning and regularization of minimization. (English) Zbl 0947.65072

Summary: Well-posedness, conditioning and regularization of fixed point problems are studied in connection with well-posedness, conditioning and Tikhonov regularization of minimization and inclusion problems. Equivalence theorems are proved. Coupling iteration and well-posedness as well as iteration and regularization are also considered.

MSC:

65K10 Numerical optimization and variational techniques
49J27 Existence theories for problems in abstract spaces
49M25 Discrete approximations in optimal control
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