Fixed-point properties of the Mordukhovich differential operator

2024/07/07 by Jinlu Li, Li, Jinlu
Computer Science · Mathematics · #46C05 #47H05 #49M27 #65K10 #90C25 #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2407.05227

openalex publication_date 2024/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate some fixed-point properties of the Mordukhovich differential operator of set valued mappings (or, single valued mappings) on Banach spaces. In particular, we study the fixed-point properties of the Mordukhovich differential operator for the metric projection operator onto some closed and convex subsets in Banach spaces, such as, closed balls in Banach spaces, positive cones in real spaces l2 and l1 and sets of polynomials in C[0, 1].

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