Common Fixed Point for Generalized Contraction in b-Multiplicative Metric Spaces with Applications

摘要

The desired outcome of this paper is to extend the result of AlMazrooei et al. (Journal of Mathematical Analysis, 8(3):157-166, 2017) by applying new contractive condition only on a closed set instead of a whole set and by using b-multiplicative metric spaces instead of multiplicative metric spaces. We apply our result to obtain unique common solution of Fredholm multiplicative integral equations. An example and a result on F-contraction are also presented. Our results generate many new results in b-multiplicative metric spaces and b-metric spaces.