A Simultaneous Iteration Algorithm for Solving Extended Split Equality Fixed Point Problem

Abstract EN

We study a kind of split equality fixed point problem which is an extension of split equality problem.

We propose a kind of simultaneous iterative algorithm with a way of selecting the step length which does not need any a priori information about the operator norms and prove that the sequences generated by the iterative method converge weakly to the solution of this problem.

Some numerical results are shown to confirm the feasibility and efficiency of the proposed methods.