Vulnerability scanning and vulnerability management. This terms are often used synonymously. However, most top security vendors and institutions, express an opinion, that vulnerability management is a more complex process that includes vulnerability scanning (vulnerability assessment in general), remediation and some other stages, like asset management and risk assessment.
Remediation in most cases, does not mean that the vulnerability management product automatically tries to patch vulnerable system, but rather provide functionality to control remediation process. In other words, it contains a built-in task tracker, where security administrators could assign tickets (manually or automatically) on system administrators to patch or reconfigure vulnerable systems. For example, such functionality is implemented in Tenable Security Center and Qualys Cloud Suite.
NB: In most cases, but there are exceptions, as ERPScan, Secpod Saner or ConfigOS. This solutions can actually update vulnerable systems automatically.