The fixed point property for (c)-mappings and unbounded sets

2020/10/16 by Sami Atailia, Atailia, Sami, Abdelkader Dehici +2
Computer Science · Mathematics · #47H10 #54H25 #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2010.08647

openalex publication_date 2020/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a closed convex subset C of a real Hilbert space X has the fixed point property for (c)-mappings if and only if C is bounded. Some convergence results about the iterations are obtained.

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