Title of article
Inertial approximation method for split variational inclusion problem in Banach spaces
Author/Authors
Oyewole, Olawale Kazeem School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa , Izuchukwu, Chinedu School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa , Okeke, Chibueze Christian School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa , Mewomo, Oluwatosin Temitope School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa
Pages
20
From page
285
To page
304
Abstract
In this paper, we introduce a new iterative algorithm of inertial form for approximating the solution of Split Variational Inclusion Problem (SVIP) involving accrective operators in Banach space. Motivated by the inertial technique, we incorporate the inertial term to accelerate the convergence of the proposed method. Under standard and mild assumption of monotonicity of the SVIP associated mappings, we establish the weak convergence of the sequence generated by our algorithm. Some applications and numerical example are presented to illustrate the performance of our method as well as comparing it with the non-inertial version.
Keywords
Inertial , Accretive operator , variational inclusion problem , weak convergence , Banach space , fixed point , minimization problem
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2020
Record number
2606400
Link To Document