Preface. Part I: Numerical methods and applications. 1. An approach to constructing generalized penalty functions; M. Andramonov. 2. An exact method for solving the subproblem of the cutting angle method of global optimization; D.A. Babayev. 3. On modeling risk in Markov decision processes; S. Levitt, A. Ben-Israel. 4. Multiplicative programming and beyond via C-programming; L. Churilov, M. Sniedovich. 5. Computing optimal control on matlab - the SCOM package and economic growth models; B.D. Craven, S.M.N. Islam. 6. Stochastic optimal control of a solar car; J. Boland, et al. 7. On optimal algorithms in emergent computation; V. Korotkich. 8. Optimal estimation of signal parameters using bilinear observations; P.M. Pardalos, et al. 9. On an extremal problem arising in queueing theory and telecommunications; M. Peake, C.E.M. Pearce. 10. Level functions of some optimal value functions; H. Xu. 11. Regularized gap functions and D-gap functions for nonsmooth variational inequalities; H. Xu. Part II: Theory of optimization and related topics. 12. Convex spectral functions of compact operators, Part II: lower semicontinuity and rearrangement invariance; J.M. Borwein, et al. 13. Some inequalities for Riemann-Stieltjes integral and applications; S.S. Dragomir. 14. Prox-regularity and subjets; A. Eberhard. 15. Concerning differentiability properties of locally Lipschitz functions; J.R.Giles, S. Sciffer. 16. Laurent series for the inversion of perturbed linear operators on Hilbert space; Ph. Howlett, K. Avrachenkov. 17. The extremal principle and its applications to optimization and economics; B.S. Mordukhovich. 18. Generic convergence of infinite products of nonexpansive mappings in Banach and hyperbolic spaces; S. Reich, A.J. Zaslavski. 19. Recession cones of star-shaped and co-star-shaped sets; A.P. Shveidel. 20. Does continuity of convex-valued maps survive under intersection? A. Vladimirov. 21. Existence and structure of solutions of optimal control problems; A.J. Zaslavski. References.