Randomized trial demonstrates strong convergence for multi-valued mappings in real Hilbert spaces, suggesting a new approach to complex fixed point problems.
In this paper, we propose a Halpern iterative method to approximate a solution of split common fixed point problem for multi-valued demicontractive mappings with multiple output set in the framework of real Hilbert spaces. Using our proposed algorithm, we state and prove a strong convergence theorem for approximating a solution of the aforementioned problems. Lastly, we display some numerical examples to show the performance of our iterative method. The result discussed in this article extends and complements many related results in literature.
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Abass et al. (2026) studied this question.
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