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- Title
On approximating fixed points of strictly pseudocontractive mappings in metric spaces.
- Authors
SALISU, SANI; BERINDE, VASILE; SRIWONGSA, SONGPON; KUMAM, POOM
- Abstract
In this work, we analyse the class of strictly pseudocontractive mappings in general metric spaces by providing a comprehensive and appropriate definition of a strictly pseudocontractive mapping, which serves as a natural extension of the existing notion. Moreover, we establish its various characterizations and explore several significant properties of these mappings in relation to fixed point theory in CAT(0) spaces. Specifically, we establish that these mappings are Lipschitz continuous, satisfying the demiclosedness-type property, and possessing a closed convex fixed point set. Furthermore, we show that the fixed points of the mappings can be effectively approximated using an iterative scheme for fixed points of nonexpansive mappings. The results in this work contribute to a deeper understanding of strictly pseudocontractive mappings and their applicability in the context of fixed point theory in metric spaces.
- Subjects
NONEXPANSIVE mappings; METRIC spaces; FIXED point theory; POINT set theory
- Publication
Carpathian Journal of Mathematics, 2024, Vol 40, Issue 2, p419
- ISSN
1584-2851
- Publication type
Article
- DOI
10.37193/CJM.2024.02.12