Some parametric optimization problems in mathematical economics

ms with state constraints, J Optim Theory Appl 62 (1989), 489–513 [67] H X Phu, Investigation of a macroeconomic model by the method of region analysis, J Optim Theory Appl 72 (1992), 319–332 [68] N V T Pierre, Introductory Optimization Dynamics Optimal Control with Economics and Management Science Applications, Springer-Verlag, Berlin, 1984 [69] L S Pontryagin, V G Boltyanskii, R V Gamkrelidze, and E F Mishchenko, The Mathematical Theory of Optimal Processes, John Wiley & Sons, Inc., New York–London, 1962 [70] F P Ramsey, A mathematical theory of saving, Econ J l38 (1928), 543–559 [71] S Rasmussen, Production Economics: The Basic Theory of Production Optimisation, 2nd edition, Springer, Berlin-Heidelberg, 2013 [72] R T Rockafellar, Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970 [73] R T Rockafellar, Directionally lipschitzian functions and subdifferential calculus, Proc London Math Soc 39 (1979), 331–355 [74] R T Rockafellar, Generalized directional derivatives and subgradients of nonconvex functions, Canad J Math 32 (1980), 257–280 [75] H L Royden, P M Fitzpatrick, Machine Press, 2010 Real Analysis, 4th edition, China [76] W Rudin, Functional Analysis, 2nd edition, McGraw-Hill, Inc., New York, 1991 [77] R M Solow, A contribution to the theory of economic growth, Quart J Econom 70 (1956), 65–94 165 [78] T W Swan, Economic growth and capital accumulation, Economic Record 32 (1956), 334–361 [79] A Takayama, Mathematical Economics, The Dryden Press, Hinsdale, Illinois, 1974 [80] Y.-Ch Tsao, A piecewise nonlinear optimization for a productioninventory model under maintenance, variable setup costs, and trade credits, Ann Oper Res 233 (2015) 465– 481 [81] F P Vasilev, Numerical Methods for Solving Extremal Problems (in Russian), 2nd edition, Nauka, Moscow, 1988 [82] R Vinter, Optimal Control, Birkhăauser, Boston, 2000 [83] J.-C Yao, Variational inequalities with generalized monotone operators, Math Oper Res 19 (1994), 691–705 [84] J.-C Yao,Multi-valued variational inequalities with K-pseudomonotone operators, J Optim Theory Appl 80 (1994), 63–74 [85] J.-C Yao, O Chadli, Pseudomonotone complementarity problems and variational in equalities, in: “Handbook of Generalized Convexity and Generalized Monotonicity” (N Hadjisavvas, S Koml´osi, and S Schaible, Eds.), pp 501–558, Springer, 2005 [86] N D Yen, Hă older continuity of solutions to a parametric variational inequality, Applied Math Optim 31 (1995), 245–255 [87] N D Yen, Implicit function theorems for set-valued maps, Acta Math Vietnam 12 (1987), 17–28 [88] N D Yen, Stability of the solution set of perturbed nonsmooth inequality systems and application, J Optim Theory Appl 93 (1997), 199–225 [89] E Zakon, Basic concepts of mathematics, in “The Zakon Series on Mathematical Analysis”, The Trillia Group, West Lafayette, Indiana, USA, 2017 166 ... [79] A Takayama, Mathematical Economics, The Dryden Press, Hinsdale, Illinois, 1974 [80] Y.-Ch Tsao, A piecewise nonlinear optimization for a productioninventory model under maintenance, variable... Numerical Methods for Solving Extremal Problems (in Russian), 2nd edition, Nauka, Moscow, 1988 [82] R Vinter, Optimal Control, Birkhăauser, Boston, 2000 [83] J.-C Yao, Variational inequalities with generalized... variational inequalities with K-pseudomonotone operators, J Optim Theory Appl 80 (1994), 63–74 [85] J.-C Yao, O Chadli, Pseudomonotone complementarity problems and variational in equalities, in: “Handbook