  Very recently, Kim and Lee presented an example of a non-Hopfian relatively
hyperbolic group with a Hopfian peripheral subgroup, demonstrating a
counterexample to Osin's well-known question (Problem 5.5). In this paper, we
provide a general construction method using the so-called image extension
theorem to generate non-Hopfian relatively hyperbolic groups with Hopfian
peripheral subgroups. Additionally, we provide two specific examples using this
construction method.
