9 Devices for navigation, namely, global positioning systems consisting of hardware, software, transmitters, receivers, and network interface units; Global Positioning System (GPS) apparatus, consisting of hardware, software, transmitters, receivers, and network interface units; Transmitters and receivers for global positioning systems (GPS); Global positioning software; Global positioning software applications for smartphones, mobile telephones, and digital tablets; Software applications for smartphones, mobile telephones, and digital tablets for geolocation permission; Software applications for smartphones, mobile telephones, and digital tablets, enabling users to define their permissions to be located by others; Software applications for smartphones, mobile telephones, and digital tablets for transmitting personalized information to users who have agreed to be located; Software applications for smartphones, mobile telephones, and digital tablets for receiving user-definable and personalized alerts; Software applications for smartphones, mobile telephones, and digital tablets for gathering information relating to the geographical location and movements of people; Software applications for smartphones, mobile telephones, and digital tablets for gathering information relating to a given geographical location; Software applications for smartphones, mobile telephones, and digital tablets for gathering information by means of network of users