Search

To meet requirements of training astronauts for space task on ground, robotic arm working underwater is researched. Methods The solution to the underwater robotic arm is proposed by research on the robotic arm’s major structure, drive and control, neutral buoyancy design, sealing, corrosion resistance, and so on. Conclusion Through the modeling and simulation, underwater robotic arm owned rational structure, stable control system, and has the ability to cover the working space. Furthermore, underwater sealing means has passed the test. Consequently, the method to develop underwater robotic arm is feasible and reasonable.

The purpose of this paper is to introduce and consider a new hybrid shrinking projection method for finding a common element of the set EP of solutions of a generalized equilibrium problem, the common fixed point set F of finite uniformly closed families of countable Bregman quasi-Lipschitz mappings in reflexive Banach spaces. It is proved that under appropriate conditions, the sequence generated by the hybrid shrinking projection method converges strongly to some point in $\mathit{EP} \cap F$ . Relative examples are given. Strong convergence theorems are proved. The application for Bregman asymptotically quasi-nonexpansive mappings is also given. The main innovative points in this paper are as follows: (1) the notion of the uniformly closed family of countable Bregman quasi-Lipschitz mappings is presented and the useful conclusions are given; (2) the relative examples of the uniformly closed family of countable Bregman quasi-Lipschitz mappings are given in classical Banach spaces $l^{2}$ and $L^{2}$ ; (3) the application for Bregman asymptotically quasi-nonexpansive mappings is also given; (4) because the main theorems do not need the boundedness of the domain of mappings, so a corresponding technique for the proof is given. This new results improve and extend the previously known ones in the literature.