Adrian Petrușel† , Gabriela Petrușel‡, Jen-Chih Yao§
In this paper, using the admissible perturbation technique, we will prove some data dependence and stability results for the fixed point equation in complete vector-valued metric spaces. Our approach generalizes some recent results in metric fixed point theory.
Keywords: single-valued operator, fixed point, vector-valued metric, complete metric space, stability properties.
MSC: 47H10, 54H25.
DOI https://doi.org/10.56082/annalsarscimath.2024.2.150
†adrian.petrusel@ubbcluj.ro Babe¸s-Bolyai University Cluj-Napoca, Romania and Academy of Romanian Scientists, Bucharest, Romania
‡gabriela.petrusel@ubbcluj.ro Babe¸s-Bolyai University Cluj-Napoca, Romania
§yaojc@mail.cmu.edu.tw Center for General Education, China Medical University, Taichung, Taiwan and Academy of Romanian Scientists, Bucharest, Romania
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 16 no 2, 2024
