Five-star hotels and luxury tour operators are trying new gambits to lure in the growing pool of female million- and billionaires.

Female-only room service, smaller slippers, fresh flowers and a complimentary fruit bowl are among the services offered by Dukes Hotel in Mayfair, London to women who stay in its "duchess rooms." These rooms are aimed at solo female travelers and will also be available when the hotel opens a branch in Dubai this year.