Check Point API is a set of web services that enable the usage of functions and commands in a dynamic and automated fashion. Check Point API is available in different types, each serving a different purpose and functionality. According to the Check Point Resource Library1, the following are the types of Check Point API available in R81.x:

Identity Awareness Web Services: This type of API allows external applications to send identity and location information to the Security Gateway, which can then use this information for policy enforcement. Identity Awareness Web Services can be used for scenarios such as guest registration, captive portal, identity agents, etc.

OPSEC SDK: This type of API provides a framework for developing applications that interact with Check Point products using the OPSEC (Open Platform for Security) protocol. OPSEC SDK can be used for scenarios such as log export, event management, anti-virus integration, etc.

Management: This type of API allows external applications to perform management operations on the Check Point Management server using RESTful web services. Management API can be used for scenarios such as policy installation, object creation, configuration backup, etc.

Mobile Access is not a type of Check Point API, but rather a feature that provides secure remote access to corporate resources from various devices. Mobile Access uses SSL VPN technology and supports different authentication methods and access scenarios.

References: What is an API Gateway?, How to use Check Point API with Postman quick guide, Home - Check Point Developers, Introduction to RESTful APIs and JSON format, Checkpoint API tutorial, part 1 - getting started