I want to create a web application that include Open Street Map . I use OpenLayers library to create map , but now I want to create map without icons like hospitals,coffeshop and other icons.
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As BradHards already mentioned you'll need to render your own map tiles.
On help.openstreetmap.org there is a list of many opportunities: https://help.openstreetmap.org/questions/136/how-do-i-render-my-own-maps-for-my-website.
A similar post on gis.stackexchange: How would I draw and visualize custom maps based on OSM data?