How I can update my container image in bluemix, without stop my actual service that use this container?
Normally I stop > removing > recreate a new container. That's is not very productive.
IBM Bluemix Container Service now combines Docker and Kubernetes. Kubernetes is an open source project for managing infrastructure that you can deploy to Bluemix. Zero-downtime deployment is a native feature of Kubernetes.
You should consider migrating your old containers to the new IBM Container Service.
For more information on creating clusters: https://console.bluemix.net/docs/containers/container_index.html#clusters
Managing rolling deployments with IBM Bluemix Container Service https://console.bluemix.net/docs/containers/cs_apps.html#cs_apps_rolling