Shrinking Projection Methods for Accelerating Relaxed Inertial Tseng-Type Algorithm with Applications

الملخص EN

Our main goal in this manuscript is to accelerate the relaxed inertial Tseng-type (RITT) algorithm by adding a shrinking projection (SP) term to the algorithm.

Hence, strong convergence results were obtained in a real Hilbert space (RHS).

A novel structure was used to solve an inclusion and a minimization problem under proper hypotheses.

Finally, numerical experiments to elucidate the applications, performance, quickness, and effectiveness of our procedure are discussed.