On common fixed points for \(\alpha-F\)-contractions and applications

Volume 9, Issue 5, pp 3445--3458 http://dx.doi.org/10.22436/jnsa.009.05.128

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Authors

Ahmed Al-Rawashdeh - Department of Mathematical Sciences, UAE University, P. O. Box 15551, Al-Ain, UAE. 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 Post code, 31982, Hafouf, Saudi Arabia. Slah Sahmim - Department of Mathematics and Statistics, College of Sciences, King Faisal University, P. O. Box 400 Post code, 31982, Hafouf, Saudi Arabia. Wasfi Shatanawi - Department of Mathematics and General Courses, Prince Sultan University, Riyadh, KSA. - Department of Mathematics, The Hashemite University, Zarqa 13115, Jordan.

Abstract

In this paper, we introduce the concept of modified F-contractions via \(\alpha\)-admissible pair of mappings. We also provide several common fixed point results in the setting of metric spaces. Moreover, we present some illustrated examples and we give two applications on a dynamic programming and an integral equation.

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Keywords

• Metric space
• \(\alpha\)-admissible mappings
• F-contraction
• common fixed point.

MSC

•  47H10
•  54H25.

References

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