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On the Solution of Generalized Banach Space Valued Equations

Author

Listed:
  • Ramandeep Behl

    (Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
    These authors contributed equally to this work.)

  • Ioannis K. Argyros

    (Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA
    These authors contributed equally to this work.)

Abstract

We develop a class of Steffensen-like schemes for approximating solution of Banach space valued equations. The sequences generated by these schemes are, converging to the solution under certain hypotheses that are weaker than in earlier studies. Hence, extending the region of applicability of these schemes without additional hypotheses. Benefits include: more choices for initial points; the computation of fewer iterates to reach a certain accuracy in the error distances, and a more precise knowledge of the solution. Technique is applicable on other schemes our due to its generality.

Suggested Citation

  • Ramandeep Behl & Ioannis K. Argyros, 2022. "On the Solution of Generalized Banach Space Valued Equations," Mathematics, MDPI, vol. 10(1), pages 1-12, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:1:p:132-:d:716395
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