Multiple Split Equality Problem and Convergence Result

  • Agatha Chizoba Nnubia Department of Mathematics, Nnamdi Azikiwe University, P. M. B. 5025, Awka, Nigeria
  • Austine Nduaguibe Department of Mathematics, Nnamdi Azikiwe University, P. M. B. 5025, Awka, Nigeria
  • Ofodile Ugochukwu Department of Mathematics, Nnamdi Azikiwe University, P. M. B. 5025, Awka, Nigeria
  • Chika Moore Department of Mathematics, Nnamdi Azikiwe University, P. M. B. 5025, Awka, Nigeria
Keywords: Hilbert spaces, multiple split equality problem, strong convergence, bounded linear operators

Abstract

Let Hi (where i = 1, ..., m) be Hilbert spaces, and let H be another Hilbert space. Let Ai: Hi ----> H be bounded linear operators for i = 1, ..., m. We introduce the Multiple Split Equality Problem (MSEP), provide an algorithm for constructing a solution to MSEP, and establish the strong convergence of the algorithm to such a solution.

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Published
2023-11-29
How to Cite
Nnubia, A. C., Nduaguibe, A., Ugochukwu, O., & Moore, C. (2023). Multiple Split Equality Problem and Convergence Result. Earthline Journal of Mathematical Sciences, 14(1), 161-173. https://doi.org/10.34198/ejms.14124.161173
Section
Articles