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A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces

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  • Takanori Ibaraki
  • Shunsuke Kajiba
  • Yukio Takeuchi
  • Gaston Mandata N gu r kata

Abstract

In this paper, by using properties of attractive points, we study an iteration scheme combining simplified Baillon type and Mann type to find a common fixed point of commutative two nonlinear mappings in Hilbert spaces. Then, we apply the obtained results to prove a new weak convergence theorem.

Suggested Citation

  • Takanori Ibaraki & Shunsuke Kajiba & Yukio Takeuchi & Gaston Mandata N gu r kata, 2022. "A Weak Convergence Theorem for Common Fixed Points of Two Nonlinear Mappings in Hilbert Spaces," Abstract and Applied Analysis, Hindawi, vol. 2022, pages 1-9, August.
    • Handle: RePEc:hin:jnlaaa:9568060
    DOI: 10.1155/2022/9568060
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