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Approximate Solutions for Three Fixed Point Problems

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  • Alexander J. Zaslavski

    (Technion–Israel Institute of Technology)

Abstract

In this paper, we study three fixed point problems. The first one is a fixed point problem with a set-valued mapping, while the second and third problems are convex feasibility problems with infinitely many constraints solved by the subgradient projection algorithm. We show that an approximate solution is reached after a finite number of iterations under the presence of computational errors.

Suggested Citation

  • Alexander J. Zaslavski, 2024. "Approximate Solutions for Three Fixed Point Problems," Journal of Optimization Theory and Applications, Springer, vol. 203(3), pages 2116-2137, December.
    • Handle: RePEc:spr:joptap:v:203:y:2024:i:3:d:10.1007_s10957-023-02313-1
    DOI: 10.1007/s10957-023-02313-1
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    References listed on IDEAS

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    1. Yair Censor & Ran Davidi & Gabor T. Herman & Reinhard W. Schulte & Luba Tetruashvili, 2014. "Projected Subgradient Minimization Versus Superiorization," Journal of Optimization Theory and Applications, Springer, vol. 160(3), pages 730-747, March.
    Full references (including those not matched with items on IDEAS)

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