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Convergence rates and finite-dimensional approximations for nonlinear ill-posed problems involving monotone operators in Banach spaces

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Abstract

The purpose of this paper is to investigate convergence rates for an operator version of Tikhonov regularization constructed by dual mapping for nonlinear ill-posed problems involving monotone operators in real reflective Banach spaces. The obtained results are considered in combination with finite-dimensional approximations for the space. An example is considered for illustration. (author). 15 refs.
Authors:
Publication Date:
Nov 01, 1992
Product Type:
Technical Report
Report Number:
IC-92/385
Reference Number:
SCA: 661100; PA: AIX-24:030867; SN: 93000956121
Resource Relation:
Other Information: PBD: Nov 1992
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INTEGRAL EQUATIONS; CONVERGENCE; BANACH SPACE; NONLINEAR PROBLEMS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10132267
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE93619670; TRN: XA9333524030867
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[9] p.
Announcement Date:
Jul 04, 2005

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Citation Formats

Buong, Nguyen. Convergence rates and finite-dimensional approximations for nonlinear ill-posed problems involving monotone operators in Banach spaces. IAEA: N. p., 1992. Web.
Buong, Nguyen. Convergence rates and finite-dimensional approximations for nonlinear ill-posed problems involving monotone operators in Banach spaces. IAEA.
Buong, Nguyen. 1992. "Convergence rates and finite-dimensional approximations for nonlinear ill-posed problems involving monotone operators in Banach spaces." IAEA.
@misc{etde_10132267,
title = {Convergence rates and finite-dimensional approximations for nonlinear ill-posed problems involving monotone operators in Banach spaces}
 author = {Buong, Nguyen}
 abstractNote = {The purpose of this paper is to investigate convergence rates for an operator version of Tikhonov regularization constructed by dual mapping for nonlinear ill-posed problems involving monotone operators in real reflective Banach spaces. The obtained results are considered in combination with finite-dimensional approximations for the space. An example is considered for illustration. (author). 15 refs.}
 place = {IAEA}
 year = {1992}
 month = {Nov}
 }