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Common Fixed Point of Two L 2 Operators with Convergence Analysis and Application

Author

Listed:
  • Cristina Calineata

    (Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania)

  • Cristian Ciobanescu

    (Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania)

  • Teodor Turcanu

    (Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania)

Abstract

This article introduces a new numerical algorithm for approximating the solution of the common fixed point problem for two operators defined on CAT ( 0 ) spaces, belonging to the class L 2 , which was very recently introduced. The main results refer to Δ and strong convergence of the sequence generated by the new algorithm. A distinct feature of the adopted approach is the use of equivalent sequences.

Suggested Citation

  • Cristina Calineata & Cristian Ciobanescu & Teodor Turcanu, 2023. "Common Fixed Point of Two L 2 Operators with Convergence Analysis and Application," Mathematics, MDPI, vol. 11(3), pages 1-11, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:577-:d:1043502
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    References listed on IDEAS

    as
    1. Enrique Llorens Fuster & Elena Moreno Gálvez, 2011. "The Fixed Point Theory for Some Generalized Nonexpansive Mappings," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-15, March.
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