Open Access
Int. J. Simul. Multidisci. Des. Optim.
Volume 11, 2020
Article Number 17
Number of page(s) 7
Published online 10 August 2020
  1. M.A. Lopez, G. Still, Semi-infinite programming, Eur. J. Oper. Res. 180, 491–518 (2007) [Google Scholar]
  2. T.D. Chuong, S.D. Kim, Nonsmooth semi-infinite multi-objective optimization problems, J. Optim. Theory Appl. 160, 748–762 (2014) [Google Scholar]
  3. T. Emam, Optimality for E-[0,1] convex Multi-objective Programming, Filomat 31, 529–541 (2017) [Google Scholar]
  4. N. Kanzi, Neccessary optimality conditions for nonsmooth semi-infinite programming problems, J. Global Optim. 49, 713–725 (2011) [Google Scholar]
  5. N. Kanzi, S. Nobakhtian, Optimality conditions for nonsmooth semi-infinite programming, Optimization 53, 717–727 (2008) [Google Scholar]
  6. O.I. Kostyukova, T.V. Tchemisova, Sufficient optimality conditions for convex semi-infinite programming, Optim. Methods Softw. 25, 279–297 (2010) [Google Scholar]
  7. S.K. Mishra, M. Jaiswal, H.A. Thi Le, Duality for nonsmooth semi-infinite programming problems, Optim. Lett. 6, 261–271 (2012) [Google Scholar]
  8. T.Q. Son, J.J. Strodiot, V.H. Nguyen, ε-optimality and ε-Lagrangian duality for a nonconvex programming problem with an infinite number of constraints, J. Glob. Optim. 141, 389–409 (2009) [Google Scholar]
  9. T.Q. Son, D.S. Kim, ε-mixed type duality for nonconvex multi-objective programs with an infinite number of constraints, J. Glob. Optim. 57, 447–465 (2013) [Google Scholar]
  10. E.A. Youness, T. Emam, Characterization of efficient solutions of multi-objective optimization problems involving semi-strongly and generalized semi-strongly E-convexity, Acta Math. Sci. 28, 7–16 (2008) [Google Scholar]
  11. G. Caristi, M. Ferrara, A. Stefanescu, Semi-infinite multi-objective programming with generalized invexity, Math. Rep. 12, 217–233 (2010) [Google Scholar]
  12. N. Kanzi, S. Nobakhtian, Optimality conditions for nonsmooth semi-infinite multi-objective programming, Optim. Lett. 8, 1517–1528 (2014) [Google Scholar]
  13. S.K. Mishra, M. Jaiswal, Optimality conditions and duality for nondifferential multi-objective semi-infinite programming, Viet. J. Math. 402&3, 331–343 (2012) [Google Scholar]
  14. V. Preda, E. Koller, Duality for a nondifferentiable programming problem with a square root term, Rev. Roum. Math. Pures Appl. 45, 873–882 (2000) [Google Scholar]
  15. B. Mond, M. Schechter, Nondifferentiable symmetric duality, Bull. Aust. Math. Soc. 53, 177–188 (1996) [Google Scholar]
  16. I. Husain, Abha, Z. Jabeen, On nonlinear programming with support functions, J. Appl. Math. Comput. 10, 83–99 (2002) [Google Scholar]
  17. T. Antczak, V. Singh, Optimality and duality for minmax fractional programming with support functions under B-(p, r) -Type I assumptions, Math. Comput. Model. 57, 1083–1100 (2013) [Google Scholar]
  18. I. Husain, Z. Jabeen, On fraction programming containing support functions, J. Appl. Math. Comput. 18, 361–376 (2005) [Google Scholar]
  19. D.S. Kim, K.D. Bae, Optimality conditions and duality for a class of nondifferentiable multi-objective programming problems', Taiwan. J. Math. 13, 789–804 (2009) [Google Scholar]
  20. D.S. Kim, H.J. Lee, Optimality conditions and duality in non-smooth multi-objective programs, J. Inequal. Appl. (2010) doi:10.1155/2010/939537 [Google Scholar]
  21. E.A. Youness, E-convex sets, E-convex Functions and E-convex programming, J. Optim. Theory Appl. 102 (1999) [Google Scholar]
  22. E.A. Youness, Optimality criteria in E-convex programming, J. Chaos Solit. Fract. 12, 1737–1745 (2001) [Google Scholar]
  23. V. Jeyakumar, X.Q. Yang, Convex composite multi-objective non-smooth programming, J. Math. Program. 59, 325–343 (1993) [Google Scholar]
  24. F.H. Clarke, Optimization and Nonsmooth Analysis (Wiley-Interscience, New York, 1983) [Google Scholar]
  25. K.D. Bae, D.S. Kim, Optimality and duality theorems in nonsmooth multi-objective optimization, Fixed Point Theory Appl. 42 (2011) doi:10.1186/1687-1812-2011-42 [Google Scholar]
  26. S. Yadvendra, S.K. Mishra, K.K. Lai, Optimality and duality for nonsmooth semi-infinite multi-objective programming with support functions, Yugoslav J. Oper. Res. 27, 205–218 (2017) [Google Scholar]
  27. M. Denault, J.L. Goffin, Variational inequalities with quadratic cuts, Gerad Technical Report G-98-69 (1998), 41 Pages. [Google Scholar]
  28. O. du Merle, J.L. Goffin, C. Trouiller, A Lagrangian Relaxation of the capacitate multi-item lot sizing problem solved with an interior point cutting plane algorithm, Logilab Technical Report 97.5, Department of Management Studies, University of Geneva, Switzerland, 1997 [Google Scholar]
  29. O. du Merle, P. Hanson, B. Jaumard, N. Maldenovic, An Interior Point Algorithm for Minimum Sum of Squares Clustering, Gerad Technical Report G-97-53. (1997), 28 Pages [Google Scholar]

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