Quasi-contractivity, Stability and convergence of WCT operators

2024/04/30 by Yousef Estaremi, Estaremi, Y., Zhaohui Huang +1
Engineering · Mathematics · #Control and Stability of Dynamical Systems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2404.19466

openalex publication_date 2024/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we characterize quasi-contraction, stable and convergent weighted conditional type (WCT) operators on L^p(μ). Indeed we provide equivalent conditions for quasi-contraction WCT operators. Also, we prove that convergence, uniformly stability, strongly stability and weakly stability of WCT operators are equivalent. Finally we provided some concrete examples to illustrate our main results.

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