Open AccessNew inertial method for generalized split variational inclusion problems
Author(s) -
Preeyanuch Chuasuk,
Ferdinard U. Ogbuisi,
Yekini Shehu,
Prasit Cholamjiak
Publication year - 2021
Publication title -
journal of industrial and management optimization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.325
H-Index - 32
eISSN - 1553-166X
pISSN - 1547-5816
DOI - 10.3934/jimo.2020123
Subject(s) - inertial frame of reference , extrapolation , hilbert space , mathematics , convergence (economics) , inclusion (mineral) , computer science , mathematical optimization , mathematical analysis , physics , classical mechanics , economics , thermodynamics , economic growth
The purpose of this paper is to introduce a new inertial iterative method for solving split variational inclusion problems in real Hilbert spaces. We prove that the generated sequence converges weakly to the solution of the considered problem under some mild conditions. The major contributions of our results are: (ⅰ) to increase the rate of convergence of the method for solving split variational inclusion problem through the inertial extrapolation step, (ⅱ) to relax the choice of the inertial factor and show the inertial factor can be chosen greater than 1/3 unlike what is previously known before for inertial proximal point method in the literature (ⅲ) to show the numerical efficiency and superiority of our proposed method through some test example.