Fixed point results for admissible mappings with application to integral equations

Volume 9, Issue 12, pp 6260--6273 http://dx.doi.org/10.22436/jnsa.009.12.29

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Authors

Huaping Huang - School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, 100875, China. Guantie Deng - School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, 100875, China. Stojan Radenović - Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120, Beograd, Serbia. Zhanmei Chen - School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing Normal University, Beijing, 100875, China.

Abstract

This work is intended as an attempt to improve and simplify some recent fixed point theorems for (weak) \(\alpha\)-admissible mappings and (\(\alpha,\beta\))-admissible mappings from several articles in the framework of \(b\)-metric spaces. An application in proving the existence of solution for a class of nonlinear integral equations is given.

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Keywords

• \(\alpha\)-admissible mapping
• fixed point
• (\(\alpha،\beta\))-admissible mapping
• \(b\)-continuous
• integral equation.

MSC

•  47H10
•  54H25

References

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