The shared superframe multihop nature of wireless personal area networks (WPAN s) encounters fundamental challenges to the design of effective and optimal resource allocation algorithms with respect to resource utilization and fairness across different network devices. In this paper, we propose a distributed optimization framework for resource allocation scheme for IEEE 802.15.5 hop-2 for fairly sharing the channel time resources granted by the reference Mesh Piconet Coordinator (MPNC) to the hop-1 MNPC among hop-2 devices. A NUM based optimization approach is proposed for optimal resource allocation with differentiation between real-time (RT) and non-real time (NRT) devices. Simulation results for studying satisfaction and fairness indexes are conducted.