@article{Kim_Han_2023, title={A Fixed Point Theorem and Generalized Non-Archimedean Quasi-Ordered Metric Spaces and Its Applications}, volume={21}, url={https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1521}, abstractNote={<p>In this paper, we introduce the concepts of quasi-orders which are generalization of partial orders and the concepts of a generalized non-Archimedean quasi-ordered metric space which are generalization of non-Archimedean metric spaces. And we investigate the generalized non-Archimedean quasi-ordered metric on the set of all mappings from a non-Archimedean normed space to a complete non-Archimedean normed space. Further, we&nbsp;prove a fixed point theorem for a contraction in d-complete metric spaces. As an application, we give the stability for some functional equations.</p>}, number={3}, journal={Thai Journal of Mathematics}, author={Kim, Chang and Han, Gil}, year={2023}, month={Sep.}, pages={481–490} }