Geodesic
Regularization of operator equations with $B$-symmetric and $B$-positive operators in Banach spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2009), pp. 81-87

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In this paper we consider a family of regularization methods for linear operator equations with $B$-symmetric and $B$-positive operators. We establish convergence theorems for regularized solutions and their discrete approximations.
Keywords: $B$-symmetric operator, $B$-positive operator, uniformly convex space, Efimov–Stechkin space, discretization, iterative process, subgradient, subdifferential. 
@article{IVM_2009_10_a10,
     author = {P. A. Chistyakov},
     title = {Regularization of operator equations with $B$-symmetric and $B$-positive operators in {Banach} spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {81--87},
     publisher = {mathdoc},
     number = {10},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_10_a10/}
}
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P. A. Chistyakov. Regularization of operator equations with $B$-symmetric and $B$-positive operators in Banach spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2009), pp. 81-87. http://geodesic.mathdoc.fr/item/IVM_2009_10_a10/