Abstract

We study an iterative process induced by a set-valued quasi-contraction in a complete metric space and show it generates approximate fixed points under the presence of small computational errors.

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Keywords

  • Complete metric space
  • fixed point
  • iterate
  • set-valued mapping

Mathematics Subject Classification

47H09, 47H10, 54E50

Suggested citation

A. J. Zaslavski. “Approximate Fixed Points for a Set-Valued Quasi-Contraction.” Journal of Convex Analysis 32 (2025), No. 3, 927–936. https://doi.org/10.68381/jca32048

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Published by Heldermann Verlag, 2025. Rights now held by Banach Press.