Journal of Convex Analysis 32 (2025), No. 3, 927--936
Copyright Heldermann Verlag 2025
Approximate Fixed Points for a Set-Valued Quasi-Contraction
Alexander J. Zaslavski
Department of Mathematics, The Technion -- Israel Institute of Technology, Haifa, Israel
ajzasl@techunix.technion.ac.il
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.
Keywords: Complete metric space, fixed point, iterate, set-valued mapping.
MSC: 47H09, 47H10, 54E50.
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