Fixed point theorem for $F$-contraction mappings in partial symmetric space with some applications to chemical reactor integral equations

Wangwe, Lucas; Kumar, Santosh

doi:10.22075/ijnaa.2023.26881.3439

Fixed point theorem for $F$-contraction mappings in partial symmetric space with some applications to chemical reactor integral equations

Document Type : Research Paper

Authors

Lucas Wangwe ¹
Santosh Kumar ²

¹ Department of Mathematics, College of Science and Technical Education, Mbeya University of Science and Technology, Tanzania

² Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania

10.22075/ijnaa.2023.26881.3439

Abstract

This paper proves a fixed point theorem for F-contraction mappings in partial symmetric spaces. In doing so, we extended and generalized the results in the literature by employing a rational-type contraction condition. We also provided an illustrative example to support the results. Finally, we demonstrate the results by the applications to Volterra integral equation inclusion and chemical reactor integral equations.

Keywords

References

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