Alexander J. Zaslavski

Articles in Scholarly Journals [Incomplete List]

  1. Turnpike theorem for a class of set-valued mappings
    Numerical Functional Analysis and Optimization, vol. 17, no. 1, pp. 215–240, 2019
  2. Generic Well-Posedness for a Class of Equilibrium Problems
    Journal of Inequalities and Applications, vol. 2008, Article ID 581917, 9 pages, 2008
  3. A Note on Asymptotic Contractions
    Fixed Point Theory and Applications, vol. 2007, Article ID 39465, 6 pages, 2007
  4. Uniqueness and Stability of Optimal Policies of Finite State Markov Decision Processes
    Mathematics of Operations Research, vol. 32, no. 1, pp. 156–167, 2007
  5. Existence of Approximate Exact Penalty in Constrained Optimization
    Mathematics of Operations Research, vol. 32, no. 2, pp. 484–495, 2007
  6. On a variational problem arising in crystallography
    Control, Optimisation and Calculus of Variations, vol. 13, no. 1, pp. 72–92, 2007
  7. Existence of exact penalty for constrained optimization problems in Hilbert spaces
    Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 1, pp. 238–248, 2007
  8. Turnpike results for discrete-time optimal control systems arising in economic dynamics
    Nonlinear Analysis: Theory, Methods & Applications, vol. 67, no. 7, pp. 2024–2049, 2007
  9. Structure of optimal solutions for discrete-time convex control systems
    Nonlinear Analysis: Real World Applications, vol. 8, no. 2, pp. 539–562, 2007
  10. Structure of extremals of autonomous convex variational problems
    Nonlinear Analysis: Real World Applications, vol. 8, no. 4, pp. 1186–1207, 2007
  11. On a Uniform Turnpike of the Third Kind in the Robinson-Solow-Srinivasan Model
    Journal of Economics, vol. 92, no. 2, pp. 137–166, 2007
  12. Generic Existence of Solutions in Vector Optimization on Metric Spaces
    Journal of Optimization Theory and Applications, 2007
  13. Two results in metric fixed point theory
    Journal of Fixed Point Theory and Applications, vol. 1, no. 1, pp. 149–157, 2007
  14. Generic existence of Lipschitzian solutions of optimal control problems without convexity assumptions
    Journal of Mathematical Analysis and Applications, vol. 335, no. 2, pp. 962–973, 2007
  15. Generic well-posedness of minimization problems with mixed continuous constraints
    Nonlinear Analysis, vol. 64, no. 11, pp. 2381–2399, 2006
  16. Generic well-posedness of minimization problems with mixed smooth constraints
    Nonlinear Analysis, vol. 65, no. 7, pp. 1440–1461, 2006
  17. A nonintersection property for extremals of variational problems with vector-valued functions
    Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 23, no. 6, pp. 929–948, 2006
  18. Existence of exact penalty for optimization problems with mixed constraints in Banach spaces
    Journal of Mathematical Analysis and Applications, vol. 324, no. 1, pp. 669–681, 2006
  19. Existence of Exact Penalty for Constrained Optimization Problems in Metric Spaces
    Set-Valued Analysis, vol. 15, no. 3, pp. 223–237, 2006
  20. Generic Well-Posedness of Nonconvex Constrained Variational Problems
    Journal of Optimization Theory and Applications, vol. 130, no. 3, pp. 529–545, 2006
  21. Nonoccurrence of the Lavrentiev phenomenon for many nonconvex constrained variational problems
    Calculus of Variations and Partial Differential Equations, vol. 28, no. 3, pp. 351–381, 2006
  22. Nonoccurrence of gap for infinite-dimensional control problems with nonconvex integrands
    Optimization, vol. 55, no. 1-2, pp. 171–186, 2006
  23. A density result in vector optimization
    International Journal of Mathematics and Mathematical Sciences, vol. 2006, Article ID 29135, 10 pages, 2006
  24. Existence of trajectories with unbounded consumption for a model with innovations
    Journal of Inequalities and Applications, vol. 2006, Article ID 34380, 11 pages, 2006
  25. A generic result in vector optimization
    Journal of Inequalities and Applications, vol. 2006, Article ID 54027, 14 pages, 2006
  26. Nonoccurrence of the Lavrentiev Phenomenon for Many Optimal Control Problems
    SIAM Journal on Control and Optimization, vol. 45, no. 3, p. 1116, 2006
  27. A Sufficient Condition for Exact Penalty in Constrained Optimization
    SIAM Journal on Optimization, vol. 16, no. 1, p. 250, 2005
  28. Porosity and models with discrete innovations
    Abstract and Applied Analysis, vol. 2005, no. 3, pp. 229–238, 2005
  29. A porosity result in convex minimization
    Abstract and Applied Analysis, vol. 2005, no. 3, pp. 319–326, 2005
  30. Generic existence of solutions of nonconvex optimal control problems
    Abstract and Applied Analysis, vol. 2005, no. 4, pp. 375–421, 2005
  31. A note on well-posed null and fixed point problems
    Fixed Point Theory and Applications, vol. 2005, no. 2, pp. 207–211, 2005
  32. Nondifferentiability of a cost function at a point of minimum in minimax problems
    Optimization, vol. 54, no. 4-5, pp. 507–516, 2005
  33. Density of the set of local minimizers for a generic cost function
    Nonlinear Analysis, vol. 61, no. 5, pp. 871–879, 2005
  34. Most continuous descent methods converge
    Archiv der Mathematik, vol. 85, no. 3, pp. 268–277, 2005
  35. Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems
    Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 22, no. 5, pp. 579–596, 2005
  36. The structure of approximate solutions of variational problems without convexity
    Journal of Mathematical Analysis and Applications, vol. 296, no. 2, pp. 578–593, 2004
  37. The turnpike property for approximate solutions of variational problems without convexity
    Nonlinear Analysis, vol. 58, no. 5-6, pp. 547–569, 2004
  38. Generic well-posedness of nonconvex optimal control problems
    Nonlinear Analysis, vol. 59, no. 7, pp. 1091–1124, 2004
  39. Generic Well-Posedness of Constrained Variational Problems Without Convexity Assumptions
    Journal of Optimization Theory and Applications, vol. 123, no. 3, pp. 695–712, 2004
  40. Convergence theorems for continuous descent methods
    Journal of Evolution Equations, vol. 4, no. 1, pp. 139–156, 2004
  41. A turnpike result for autonomous variational problems
    Optimization, vol. 53, no. 4, pp. 377–391, 2004
  42. Anisotropic functions: a genericity result with crystallographic implications
    Control, Optimisation and Calculus of Variations, vol. 10, no. 4, pp. 624–633, 2004
  43. Generic convergence of iterates for a class of nonlinear mappings
    Fixed Point Theory and Applications, vol. 2004, no. 3, pp. 211–220, 2004
  44. Generic uniqueness of minimal configurations with rational rotation numbers in Aubry-Mather theory
    Abstract and Applied Analysis, vol. 2004, no. 8, pp. 691–721, 2004
  45. A weak ergodic theorem for infinite products of Lipschitzian mappings
    Abstract and Applied Analysis, vol. 2003, no. 2, pp. 67–74, 2003
  46. Existence of solutions of minimization problems with an increasing cost function and porosity
    Abstract and Applied Analysis, vol. 2003, no. 11, pp. 651–670, 2003
  47. Minimal Solutions for Discrete-Time Control Systems in Metric Spaces
    Numerical Functional Analysis and Optimization, vol. 24, no. 5, pp. 637–651, 2003
  48. Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
    Numerical Functional Analysis and Optimization, vol. 24, no. 5-6, pp. 489–508, 2003
  49. Journal of Mathematical Sciences, vol. 116, no. 4, pp. 3369–3386, 2003
  50. Journal of Mathematical Sciences, vol. 116, no. 4, pp. 3411–3431, 2003
  51. The asymptotic turnpike property and the uniqueness of a periodic minimal solution for one-dimensional variational problems
    Optimization, vol. 52, no. 4-5, pp. 581–603, 2003
  52. Well posedness and porosity in the calculus of variations without convexity assumptions
    Nonlinear Analysis, vol. 53, no. 1, pp. 1–22, 2003
  53. Generic well-posedness of variational problems without convexity assumptions
    Journal of Mathematical Analysis and Applications, vol. 279, no. 1, pp. 22–42, 2003
  54. The structure and limiting behavior of locally optimal minimizers
    Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 19, no. 3, pp. 343–370, 2002
  55. TWO POROSITY RESULTS IN MONOTONIC ANALYSIS
    Numerical Functional Analysis and Optimization, vol. 23, no. 5&6, pp. 651–668, 2002
  56. Set-Valued Analysis, vol. 10, no. 4, pp. 287–296, 2002
  57. Generic uniqueness of a minimal solution for variational problems on a torus
    Abstract and Applied Analysis, vol. 7, no. 3, pp. 143–154, 2002
  58. The Set of Divergent Descent Methods in a Banach Space is \boldmath$\sigma$\unboldmath-Porous
    SIAM Journal on Optimization, vol. 11, no. 4, p. 1003, 2001
  59. Existence of trajectories with unbounded consumption for the Makarov model with discrete innovations
    Nonlinear Analysis: Real World Applications, vol. 2, no. 2, pp. 195–220, 2001
  60. Existence of solutions of optimization problems and porosity
    Nonlinear Analysis, vol. 47, no. 2, pp. 1137–1147, 2001
  61. Porosity of the set of divergent descent methods
    Nonlinear Analysis, vol. 47, no. 5, pp. 3247–3258, 2001
  62. Existence of solutions of optimal control problems for a generic integrand without convexity assumptions
    Nonlinear Analysis, vol. 43, no. 3, pp. 339–361, 2001
  63. L'ensemble des applications non contractives est s-poreux dans l'espace de toutes les applications non expansives
    Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, vol. 333, no. 6, pp. 539–544, 2001
  64. Well-posedness and porosity in optimal control without convexity assumptions
    Calculus of Variations and Partial Differential Equations, vol. 13, no. 3, pp. 265–293, 2001
  65. Generic existence and uniqueness of positive eigenvalues and eigenvectors
    Integral Equations and Operator Theory, vol. 41, no. 4, pp. 455–471, 2001
  66. Attracting Mappings in Banach and Hyperbolic Spaces
    Journal of Mathematical Analysis and Applications, vol. 253, no. 1, pp. 250–268, 2001
  67. Existence and Structure of Optimal Solutions of Infinite-Dimensional Control Problems
    Applied Mathematics and Optimization, vol. 42, no. 3, pp. 291–313, 2000
  68. Convergence of Krasnoselskii-Mann iterations of nonexpansive operators
    Mathematical and Computer Modelling, vol. 32, no. 11-13, pp. 1423–1431, 2000
  69. The turnpike property for extremals of nonautonomous variational problems with vector-valued functions
    Nonlinear Analysis, vol. 42, no. 8, pp. 1465–1498, 2000
  70. Generic power convergence of order-preserving mappings
    Nonlinear Analysis, vol. 40, no. 1-8, pp. 537–547, 2000
  71. Turnpike theorem for nonautonomous infinite dimensional discrete-time control systems
    Optimization, vol. 48, no. 1, pp. 69–92, 2000
  72. On a Generic Existence Result in Optimization
    SIAM Journal on Optimization, vol. 11, no. 1, p. 189, 2000
  73. Generic Convergence of Descent Methods in Banach Spaces
    Mathematics of Operations Research, vol. 25, no. 2, pp. 231–242, 2000
  74. Variational Principles and Well-Posedness in Optimization and Calculus of Variations
    SIAM Journal on Control and Optimization, vol. 38, no. 2, p. 566, 2000
  75. Generic Well-Posedness of Optimal Control Problems without Convexity Assumptions
    SIAM Journal on Control and Optimization, vol. 39, no. 1, p. 250, 2000
  76. Transactions of the American Mathematical Society, vol. 351, no. 01, pp. 211–232, 1999
  77. The turnpike property for dynamic discrete time zero-sum games
    Abstract and Applied Analysis, vol. 4, no. 1, pp. 21–48, 1999
  78. Convergence of generic infinite products of affine operators
    Abstract and Applied Analysis, vol. 4, no. 1, pp. 1–19, 1999
  79. Structure of optimal trajectories of convex processes
    Numerical Functional Analysis and Optimization, vol. 20, no. 1, pp. 175–200, 1999
  80. Generic power convergence of operators in banach spaces
    Numerical Functional Analysis and Optimization, vol. 20, no. 7, pp. 629–650, 1999
  81. The structure of extremals of a class of second order variational problems
    Annales de l'Institut Henri Poincare (C) Non Linear Analysis, vol. 16, no. 5, pp. 593–629, 1999
  82. Convergence of generic infinite products of nonexpansive and uniformly continuous operators
    Nonlinear Analysis, vol. 36, no. 8, pp. 1049–1065, 1999
  83. Positivity, vol. 3, no. 1, pp. 1–21, 1999
  84. Generic convergence of infinite products of positive linear operators
    Integral Equations and Operator Theory, vol. 35, no. 2, pp. 232–252, 1999
  85. On a class of second order variational problems with constraints
    Israel Journal of Mathematics, vol. 111, no. 1, pp. 1–28, 1999
  86. Optimal Solutions of Linear Periodic Control Systems with Convex Integrands
    Applied Mathematics and Optimization, vol. 37, no. 2, pp. 127–149, 1998
  87. Journal of Optimization Theory and Applications, vol. 97, no. 3, pp. 731–757, 1998
  88. Existence and uniform boundedness of optimal solutions of variational problems
    Abstract and Applied Analysis, vol. 3, no. 3-4, pp. 265–292, 1998
  89. Turnpike Property of Optimal Solutions of Infinite-Horizon Variational Problems
    SIAM Journal on Control and Optimization, vol. 35, no. 4, p. 1169, 1997
  90. Turnpike theorem for a class of differential inclusions arising in economic dynamics
    Optimization, vol. 42, no. 2, pp. 139–168, 1997
  91. Solutions for a class of optimal control problems with time delay, part 2
    Journal of Optimization Theory and Applications, vol. 91, no. 2, pp. 455–490, 1996
  92. Solutions for a class of optimal control problems with time delay, part 1
    Journal of Optimization Theory and Applications, vol. 91, no. 1, pp. 155–184, 1996
  93. Structure of Extremals for One-Dimensional Variational Problems Arising in Continuum Mechanics
    Journal of Mathematical Analysis and Applications, vol. 198, no. 3, pp. 893–921, 1996
  94. Dynamic properties of optimal solutions of variational problems
    Nonlinear Analysis, vol. 27, no. 8, pp. 895–931, 1996
  95. SIAM Journal on Control and Optimization, vol. 34, no. 4, Article ID 0334049, 1996
  96. SIAM Journal on Control and Optimization, vol. 33, no. 6, Article ID 0333081, 1995
  97. The Existence of Periodic Minimal Energy Configurations for One-Dimensional Infinite Horizon Variational Problems Arising in Continuum Mechanics
    Journal of Mathematical Analysis and Applications, vol. 194, no. 2, pp. 459–476, 1995
  98. The Existence and Structure of Extremals for a Class of Second Order Infinite Horizon Variational Problems
    Journal of Mathematical Analysis and Applications, vol. 194, no. 3, pp. 660–696, 1995
  99. Asymptotic behavior of paths of a model with discrete innovations
    Siberian Mathematical Journal, vol. 33, no. 4, pp. 608–617, 1992
  100. Optimization of the growth rate in models with discrete innovations
    Siberian Mathematical Journal, vol. 32, no. 5, pp. 760–766, 1992
  101. Discrete innovations in dynamic models of economy
    Siberian Mathematical Journal, vol. 31, no. 4, pp. 566–577, 1991
  102. [image omitted]
    Optimization, vol. 19, no. 3, pp. 427–441, 1988