A common fixed point for multi-valued mappings in complex-valued b-metric spaces and applications
摘要
In this work we are interested in proving a general common fixed point theorem for a pair of multi-valued mappings satisfying a new type of implicit relation in complex-valued b-metric spaces. The results in this paper generalize the results obtained in Ahmad et al. (in: Abstract and Applied Analysis, vol 2013, p 12, 2013; J Linear Topol Algebra 9(1):75–94, 2020). An example and an application to a complex linear system are given to support our results.