Open AccessAUXILIARY PROBLEM PRINCIPLE EXTENDED TO MONOTONE VARIATIONAL INEQUALITIES
Author(s) -
Akhtar A. Khan
Publication year - 1996
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.27.1996.4349
Subject(s) - mathematics , variational inequality , monotonic function , monotone polygon , tikhonov regularization , regularization (linguistics) , strongly monotone , pseudo monotone operator , scheme (mathematics) , operator (biology) , mathematical optimization , pure mathematics , mathematical analysis , inverse problem , finite rank operator , computer science , banach space , transcription factor , gene , geometry , operator space , biochemistry , chemistry , repressor , artificial intelligence
In the present work, the use of the operator method of regularization in the sense of Tikhonov, which makes it possible to develop an iterative scheme via auxiliary problem principle, converging strongly towards the solution of multi- valued monotone variational inequality within the absence of strong monotonicity condition of involved operator, is sustained.