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

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Published: Mar 21, 2023
Keywords:
𝜃-contraction Fixed point Geraghty contraction Hammerstein integral equation Suzuki contraction

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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

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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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
Issue
Vol.28 No.1 (January-March 2023)
Section
Physical sciences
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