Alternated Inertial Viscosity-Type CQ Algorithm with Dual Adaptive Step Sizes for Solving the Split Equality Problem in Hilbert Spaces

In this paper, we propose a viscosity-type CQ algorithm, solving the split equality problem by using two adaptive step sizes and combining the alternated inertial technique in Hilbert space. The strong convergence of the sequences generated by the proposed algorithm is proved under some mild conditions. Finally, numerical experiments are conducted to verify the effectiveness and superiority of the method. The research results are innovative and provide new expansion and supplement to the relevant research.