Sports visor

A sports visor — also called a sun visor or visor cap — is a type of crownless hat consisting simply of a visor or brim with a strap encircling the head. The top of the head is not covered and the visor protects only the face, including eyes, nose, and cheeks, from the sun.

The visor portion of a sun visor may be either curved or flat and the strap is often equipped with an adjustable velcro fastener in back. The strap can function as a sweatband. This type of headgear was designed for use in outdoor sports (especially golf, tennis, and volleyball) where eye protection from direct sunlight is desirable, but is now often used by non-athletes at beach and other sunny outdoor events.

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Wikipedia