Fixed point theorems for enriched Kannan mappings in CAT(0) spaces

Autor:	A. Y. Inuwa, P. Kumam, P. Chaipunya, S. Salisu
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	CAT(0) space Enriched Bianchini mapping Enriched Kannan Mapping Fixed point Kransnoselskij iteration Strongly demicontractive mapping Applied mathematics. Quantitative methods T57-57.97 Analysis QA299.6-433
Zdroj:	Fixed Point Theory and Algorithms for Sciences and Engineering, Vol 2023, Iss 1, Pp 1-21 (2023)
Druh dokumentu:	article
ISSN:	2730-5422
DOI:	10.1186/s13663-023-00750-1
Popis:	Abstract We present enriched Kannan and enriched Bianchini mappings in the framework of unique geodesic spaces. For such mappings, we establish the existence and uniqueness of a fixed point in the setting of CAT(0) spaces and show that an appropriate Krasnoselskij scheme converges with certain rate to the fixed point. We proved some inclusion relations between enriched Kannan mapping and some applicable mappings such as strongly demicontractive mapping. Finally, we give an example in a nonlinear CAT(0) space and perform numerical experiments to support the theoretical results.
Databáze:	Directory of Open Access Journals
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