Fixed points in modular spaces via \(\alpha\)-admissible mappings and simulation functions

Volume 9, Issue 6, pp 3686--3701 http://dx.doi.org/10.22436/jnsa.009.06.20

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Authors

Hassen Aydi - Department of Mathematics, College of Education of Jubail, University of Dammam, P. O. Box 12020, Industrial Jubail 31961, Saudi Arabia. - Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan. Abdelbasset Felhi - Department of Mathematics and Statistics, College of Sciences, King Faisal University, P. O. Box 400, Hafuf 31982, Saudi Arabia.

Abstract

In this paper, by using the concepts of \(\alpha\)-admissible mappings and simulation functions, we establish some fixed point results in the class of modular spaces. Our presented results generalize and improve many known results in literature. Some concrete examples are also provided to support the obtained results.

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Keywords

• Modular space
• fixed point
• simulation functions
• \(\alpha\)-admissible mappings.

MSC

•  47H10
•  54H25

References

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