Article
Kyungpook Mathematical Journal 2022; 62(4): 673-687
Published online December 31, 2022
Copyright © Kyungpook Mathematical Journal.
Accelerated Tseng's Technique to Solve Cayley Inclusion Problem in Hilbert Spaces
Shamshad Husain, Uqba Rafat∗
Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India
e-mail : s_husain68@yahoo.com
Department of Applied Mathematics, Aligarh Muslim University, Aligarh 202002, India
e-mail : uqba.1709@gmail.com
Received: December 2, 2021; Revised: April 9, 2022; Accepted: April 8, 2022
In this study, we solve the Cayley inclusion problem and the fixed point problem in real Hilbert space using Tseng's technique with inertial extrapolation in order to obtain more efficient results. We provide a strong convergence theorem to approximate a common solution to the Cayley inclusion problem and the fixed point problem under some appropriate assumptions. Finally, we present a numerical example that satisfies the problem and shows the computational performance of our suggested technique.
Keywords: Tseng’s technique, Cayley inclusion problem, Cayley operator, fixed point problem