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Novel results on fixed-point methodologies for hybrid contraction mappings in Mb-metric spaces with an application

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Date

2023

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Amer inst Mathematical Sciences-aims

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Matematik
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Abstract

By combining the results of Wardowski's cyclic contraction operators and admissible multi -valued mappings, the motif of eta-cyclic (alpha(*), beta(*))-admissible type F-contraction multivalued mappings are presented. Moreover, some novel fixed point theorems for such mappings are proved in the context of Mb-metric spaces. Also, two examples are given to clarify and strengthen our theoretical study. Finally, the existence of a solution of a pair of ordinary differential equations is discussed as an application.

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Hammad, Hasanen A./0000-0001-8724-9367; Arshad, Muhammad/0000-0003-3041-328X

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Fixed Point Methodology, M-B-Metric Space, Eta-Cyclic (Alpha(*),Beta(*))-Admissible F-Contraction Multivalued Mapping

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Mudhesh, Mustafa;...et.al. (2023). "Novel results on fixed-point methodologies for hybrid contraction mappings in Mb-metric spaces with an application", AIMS Mathematics, Vol.8, no.1, pp.1503-1549.

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Q1

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Volume

8

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1

Start Page

1530

End Page

1549