ADMISSIBLE PERTURBATION

OF SINGLE-VALUED OPERATORS IN

VECTOR-VALUED METRIC SPACES^*

Adrian Petru¸sel Gabriela Petru¸sel Jen-Chih Yao^§

Abstract

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

Abstract Article Volume 16 no 2 / 2024