Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces

Autor: Shukla Rahul, Panicker Rekha
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Open Mathematics, Vol 20, Iss 1, Pp 1246-1260 (2022)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2022-0497
Popis: In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims. We study the asymptotic behavior of Picard iterates generated by these class of mappings under different conditions. Finally, we approximate the solutions of the constrained minimization problem in the setting of Cartan, Alexandrov, and Toponogov (CAT(0)) spaces.
Databáze: Directory of Open Access Journals