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

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 -contraction. Notions introduced in the article generalizes the existing concepts in fuzzy literature. Common fixed point result for a pair of γ -admissibl...

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Bibliographic Details
Published in:Boundary value problems 2024-07, Vol.2024 (1), p.90-20, Article 90
Main Authors: Rashid, Maliha, Shahid, Lariab, Dar, Fatima, Ayoob, Irshad, Mlaiki, Nabil
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Boundary conditions
Boundary value problems
Difference and Functional Equations
Fuzzy sets
Hybrid q-ROF Z $\mathcal{Z}$ -contraction
Hybrid systems
Inclusions
Integral equations
Mathematics
Mathematics and Statistics
Metric space
Ordinary Differential Equations
Partial Differential Equations
q-ROF mapping
q-ROF sets
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Summary: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 -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.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-024-01902-x