Premium
Method of Discrepancy in Interpolation Spaces for Nonlinear Ill‐posed Problems
Author(s) -
Buong Nguyen
Publication year - 1995
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19951730105
Subject(s) - mathematics , monotone polygon , banach space , interpolation (computer graphics) , regularization (linguistics) , nonlinear system , norm (philosophy) , regular polygon , hilbert space , bilinear interpolation , mathematical analysis , pure mathematics , geometry , computer science , animation , physics , computer graphics (images) , quantum mechanics , artificial intelligence , political science , law , statistics
In this note we study a variational method of regularization to solve nonlinear ill‐posed problems involving monotone operators in infinite dimensional Banach space, when perturbative operators are non ‐ monotone, basing on minimization of norm in interpolation space over closed and convex sets.