1. ARIFUZZAMAN - Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India.
2. S. S. IRFAN - Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India.
3. SALEHIN FERDOUS KADER - Department of Electrical and Electronic Engineering, American International University, Dhaka,
Bangladesh.
4. ABDUR RAHMAN - Department of Mathematics, National University, Gagipur, Bangladesh.
5. FEEROZ BABU - Department of Mathematics, VIT Bhopal University, India.
This work examines the issue of inclusion in a real-ordered Hilbert space, specifically focusing on the Yosida approximation operator, and XOR-operator. This topic is known as the Yosida variational inclusion problem. Our study primarily centers on examining the rapid convergence of the Yosida variational inclusion problem and the resolvent equation problem. Several algorithms have been enhanced to address both issues. We prove the existence and convergence of solutions for both problems. Two mathematical models are presented to demonstrate the efficacy of the approach.
NOVEL TECHNIQUES FOR CONVERGENCE OF THE YOSIDA VARIATIONAL INCLUSION INCLUDING RESOLVENT EQUATION PROBLEM