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Commelinaceae family

Callisia repens
(Jacquin) Linnaeus
, Sp. Pl. (ed. 2) 1: 62.  1762.
Bas.: Hapalanthus repens Jacquin (1760).

Indigenous common low trailing herb of dry and moist areas and forest rivers, forming carpets.
St. Martin, St. Barthélemy, Antigua, Saba, St. Eustatius, St. Kitts, Montserrat, Guadeloupe, Marie Galante, Dominica, Martinique, St. Lucia, St. Vincent, the Grenadines, Grenada, Barbados, Greater Antilles, North America, Mesoamerica, South America.
cultivated pot plant might be this species.
The form by rivers might be this species but I have not seen it in flower.
The inconspicuous flowers are rarely produced. 
Dry area form

Form by rivers


Gros Piton form