TY - JOUR
AU - Kim, Chang
AU - Han, Gil
PY - 2023/09/30
Y2 - 2024/07/17
TI - A Fixed Point Theorem and Generalized Non-Archimedean Quasi-Ordered Metric Spaces and Its Applications
JF - Thai Journal of Mathematics
JA - Thai J Math
VL - 21
IS - 3
SE - Articles
DO -
UR - https://thaijmath2.in.cmu.ac.th/index.php/thaijmath/article/view/1521
SP - 481–490
AB - <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 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>
ER -