Fixed Point of Suzuki-Geraghty Type 𝜃-Contractions in Partial Metric Spaces with Some Applications

Wudthichai Onsod; Poom Kumam; Teerapol Saleewong

Fixed Point of Suzuki-Geraghty Type 𝜃-Contractions in Partial Metric Spaces with Some Applications

Authors

Wudthichai Onsod Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand
Poom Kumam Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand, Center of Excellence in Theoretical and Computational Science, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand
Teerapol Saleewong Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand

Keywords:

𝜃-contraction, Fixed point, Geraghty contraction, Hammerstein integral equation, Suzuki contraction

Abstract

The aim of this paper is to introduce the notions of Suzuki-Geraghty type 𝜃- contractions and to establish some fixed point theorems in the setting of complete partial metric spaces and give an example to illustrate these main results. Moreover, we utilize our results to study the existence problem of solutions of nonlinear Hammerstein integral equations.

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Published

2023-03-21

How to Cite

Wudthichai Onsod, Poom Kumam, & Teerapol Saleewong. (2023). Fixed Point of Suzuki-Geraghty Type 𝜃-Contractions in Partial Metric Spaces with Some Applications. Science & Technology Asia, 28(1), 17–25. Retrieved from https://ph02.tci-thaijo.org/index.php/SciTechAsia/article/view/248866