Existence of solution of a system of non-linear differential inclusions with non-local, integral boundary conditions via fixed points of hybrid contractions

Autor: Maliha Rashid, Lariab Shahid, Fatima Dar, Irshad Ayoob, Nabil Mlaiki
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Boundary Value Problems, Vol 2024, Iss 1, Pp 1-20 (2024)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-024-01902-x
Popis: Abstract In the present article, we have introduced the notions of γ-admissibility for the pair of q-ROF set-valued maps and admissible hybrid q-ROF Z $\mathcal{Z}$ -contraction. Notions introduced in the article generalizes the existing concepts in fuzzy literature. Common fixed point result for a pair of γ-admissible q-ROF mappings in b-metric spaces utilizing the introduced contraction is presented. A nontrivial example to support the obtained results is also included. As an application, we have discussed the existence of solution of system of non-linear n-th order differential inclusions with non-local and integral boundary conditions.
Databáze: Directory of Open Access Journals
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