Open AccessConvergence and stability of an iterative algorithm for strongly accretive Lipschitzian operator with applications
Author(s) -
Vijay Kumar,
Nawab Hussain,
Abdul Khan Rahim,
Faik Gürsoy
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2011689k
Subject(s) - mathematics , convergence (economics) , banach space , operator (biology) , stability (learning theory) , iterative method , generalization , nonlinear system , algorithm , mathematical analysis , computer science , physics , machine learning , biochemistry , chemistry , repressor , quantum mechanics , transcription factor , economics , gene , economic growth
Using different technique and weaker restrictions on parameters, convergence and stability results of an SP iterative algorithm with errors for a strongly accretive Lipschitzian operator on a Banach space are established. Validity of new convergence results is verified through numerical examples and convergence comparison of various iterative algorithms is depicted. As applications of our convergence result, we solve a nonlinear operator equation and a variational inclusion problem. Our results are refinement and generalization of many classical results.