1. ARIFUZZAMAN - Department of Mathematics, Aligarh Muslim University, Aligarh, India.
2. S. S. IRFAN - Department of Mathematics, Aligarh Muslim University, Aligarh, India.
3. SABRINA TASNIM - Department of Computer Science and Engineering, Sonargong University, Bangladesh.
4. ABDUR RAHMAN - Department of Mathematics, National University, Gazipur, Bangladesh.
5. FEEROZ BABU - Department of Mathematics, VIT Bhopal University, India.
In this study, we utilize an inertial extrapolation scheme to achieve rapid convergence for the Cayley variational inclusion problem and the equivalent Cayley resolvent equation problem. We have outlined several strategies to address both problems. Still, our primary focus is on validating the rapid convergence for the Cayley variational inclusion problem in a real Banach space and the Cayley resolvent equation problem in a q-uniformly smooth Banach space. We employ an inertial extrapolation strategy in both cases to achieve rapid convergence. A mathematical experiment is presented to demonstrate Swift Convergence.
Cayley Approximation Operator, Variational Inclusion, Resolvent Operator, Inertial Extrapolation Scheme, Banach Space, etc