Some multidimensional fixed point theorems for nonlinear contractions in C-distance spaces with applications

Autor:	Maliha Rashid, Naeem Saleem, Rabia Bibi, Reny George
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	Multiple fixed point C-distance space Nonlinear contractions Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-17 (2024)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-024-03079-4
Popis:	Abstract In this manuscript, we use the concept of multidimensional fixed point in a generalized space, namely, C-distance space with some nonlinear contraction conditions, such as Jaggi- and Dass-Gupta-type contractions. We provide results with a Jaggi-type hybrid contraction for the mentioned space. Moreover, we use control functions to get the desired results. After each theorem, we compare our results with previous ones to show that they are generalized. We provide examples to support our results. An application is also performed to solve the system of integral equations.
Databáze:	Directory of Open Access Journals
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