The document proposes privacy-preserving algorithms for determining an optimal meeting location for a group of users. It aims to solve this problem, called the Fair Rendezvous Point (FRVP) problem, in a way that protects users' location privacy from both other users and third-party service providers. The algorithms take advantage of homomorphic cryptography to privately compute the optimal location based on users' encrypted location preferences. The document evaluates the privacy and performance of the proposed algorithms through both theoretical analysis and prototype implementation on mobile devices.