Normal Structure and Contractions which diminish Radius in Metric and Banach Spaces

2021/06/30 by Abdelkader Dehici, Dehici, Abdelkader, Najeh Redjel +3
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.2106.16098

openalex publication_date 2021/06/30 · openalex created_date 2021/07/05 · openalex updated_date 2026/07/28

Abstract

In this paper, by using admissible sets, we give some fixed point results for orbitally contractions which diminish the radius of invariant convex subsets and orbits. Furthermore, a characterization of the weak normal structure by the fixed point property associated with this class of mappings is established.

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