Pikmin 3's Story Mode contains a number of objectives that separate the story into sections based on the current major goal. These objectives are short pieces of text that appear on the day selection menu in Pikmin 3, and additionally on the the saved game selection menu, the loading screen, and the radar in Pikmin 3 Deluxe. Objectives apply to a specific day, and each day's objective is saved for a playthrough. Objectives are a way for the game to guide the player towards advancing through the story.
Note that these objectives will only appear in Pikmin 3 Deluxe's loading screen if the player lands in an area where the objective is relevant; for example, boss-related objectives will not appear in the areas the boss is not found in.