Novel Results on Fixed-Point Methodologies for Hybrid Contraction Mappings in Mb-Metric Spaces With an Application
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Date
2023
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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No
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Average
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Top 10%
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.
Description
Hammad, Hasanen A./0000-0001-8724-9367; Arshad, Muhammad/0000-0003-3041-328X
Keywords
Fixed Point Methodology, M-B-Metric Space, Eta-Cyclic (Alpha(*),Beta(*))-Admissible F-Contraction Multivalued Mapping, m<sub>b</sub>-metric space, Pure mathematics, Cone Metric Spaces, Fixed point, Discrete mathematics, Multi-valued Mappings, Mathematical analysis, Metric Spaces, Fixed Point Theorems in Metric Spaces, Contractive Mappings, η-cyclic (α<sub>∗</sub>，β<sub>∗</sub>)-admissible ϝ-contraction multivalued mapping, Physical Sciences, QA1-939, FOS: Mathematics, Contraction (grammar), Medicine, Geometry and Topology, fixed point methodology, Metric space, Internal medicine, Mathematics
Fields of Science
01 natural sciences, 0101 mathematics
Citation
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.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
3
Source
AIMS Mathematics
Volume
8
Issue
1
Start Page
1530
End Page
1549
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Scopus : 5
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5
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6
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3
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