Open AccessA NEW EXTENSION OF PARAMETER CONTINUATION METHOD FOR SOLVING OPERATOR EQUATIONS OF THE SECOND KIND
Author(s) -
Bình Ngô Thanh
Publication year - 2021
Publication title -
khoa học
Language(s) - English
Resource type - Journals
ISSN - 2354-1431
DOI - 10.51453/2354-1431/2021/521
Subject(s) - continuation , extension (predicate logic) , operator (biology) , lipschitz continuity , mathematics , operator splitting , monotone polygon , calculus (dental) , mathematical analysis , computer science , biochemistry , chemistry , geometry , repressor , transcription factor , gene , programming language , medicine , dentistry
In this paper, we propose an extension of the parameter continuation method for solving operator equations of the second kind. By splitting of the operator into a sum of two operators: one monotone, Lipschitz-continuous and one contractive, the applicability of the method is broader. The suitability of the proposed approach is presented through an example.