Nonlinear iterative methods for linear ill-posed problems in Banach spaces

F Schöpfer, AK Louis, T Schuster - Inverse problems, 2006 - iopscience.iop.org
… We introduce and discuss nonlinear iterative methods to recover the minimumnorm solution
… = y in Banach spaces X, Y, where A is a continuous linear operator from X to Y. The methods

Fixed points and iteration of a nonexpansive mapping in a Banach space

S Ishikawa - Proceedings of the American Mathematical Society, 1976 - ams.org
… They showed that these iterative methods may be used to find a fixed point of a … Banach
space or a strictly convex Banach space, where a mapping T from a subset D of a Banach space

Strong convergence of iterative methods by strictly pseudocontractive mappings in Banach spaces

DR Sahu, A Petruşel - Nonlinear Analysis: Theory, Methods & Applications, 2011 - Elsevier
… we study several iterative algorithms which generate strongly convergent sequences for
computing fixed points of pseudocontractive mappings in real smooth Banach spaces that are …

Iterative methods for nonlinear ill-posed problems in Banach spaces: convergence and applications to parameter identification problems

B Kaltenbacher, F Schöpfer, T Schuster - Inverse Problems, 2009 - iopscience.iop.org
… Our aim is to formulate iterative methods and obtain convergence results without regularity …
method and the iteratively regularized Gauss– Newton method (IRGNM) to the Banach space

[PDF][PDF] Monotone iterative technique for differential equations in a Banach space

SW Du, V Lakshmikantham - Journal of Mathematical Analysis and …, 1982 - core.ac.uk
… Let E be a real Banach space with norm )I - (1 and let E* denote the set of continuous linear
… In order to develop the monotone iterative technique, we need to consider the linear IVP …

The general iterative methods for nonexpansive mappings in Banach spaces

R Wangkeeree, N Petrot, R Wangkeeree - Journal of Global Optimization, 2011 - Springer
… Abstract In this paper, we introduce a general iterative approximation method for finding a
… convergence theorems of such iterative scheme in a reflexive Banach space which admits a …

Iterative methods for generalized split feasibility problems in Banach spaces

QH Ansari, A Rehan - Carpathian Journal of Mathematics, 2017 - JSTOR
… (GSFPs) in the setting of Banach spaces. We propose iterative algorithms to compute the
approximate solutions … Yao, Iterative methods for generalized split feasibility problems in Hilbert …

Iterative approaches to convex feasibility problems in Banach spaces

JG O'Hara, P Pillay, HK Xu - Nonlinear Analysis: Theory, Methods & …, 2006 - Elsevier
… approaches to (CFP) in Hilbert spaces; see [2], [9], [6], [10], [11] and the references therein. …
of Banach spaces where the situation is quite different from that of the Hilbert space

[图书][B] Regularization methods in Banach spaces

T Schuster, B Kaltenbacher, B Hofmann… - 2012 - books.google.com
… The basic material of Banach space and regularization theory is then provided in Part II, … in
Part IV iterative regularization methods are presented, and Part V concludes the book with the …

An iterative regularization method for the solution of the split feasibility problem in Banach spaces

F Schöpfer, T Schuster, AK Louis - Inverse problems, 2008 - iopscience.iop.org
… problem (SFP) in a Banach space X by an iterative regularization method. The SFP is a special
… Here we consider a generalization of this method to Banach spaces, which in case of two …