Buradasınız

Anasayfa » Content

A class of semilocal E-preinvex maps in Banach spaces with applications to nondifferentiable vector optimization

Journal Name:

  • An International Journal of Optimization and Control: Theories & Applications

Publication Year:

  • 2014
DOI: 
10.11121/ijocta.01.2014.00178

Key Words:

Keywords (Original Language):

Author NameUniversity of Author

AMS Codes:

Bookmark/Search this post with
Abstract (Original Language): 
In this paper, a new class of semilocal E-preinvex and related maps in Banach spaces is introduced for a nondifferentiable vector optimization problem with restrictions of inequalities and some of its basic properties are studied. Furthermore, as its applications, some optimality conditions and duality results are established for a nondifferentiable vector optimization under the aforesaid maps assumptions
  • 1
1
10
  • English

REFERENCES

References: 

Hanson, M.A. and Mond, B., Necessary and sufficient conditions in constrained optimization. Math. Program., 37, 51-58 (1987). CrossRef

Kaul, R.N., Suneja, S.K., Srivastava, M.K., Optimality criteria and duality in multiple objective optimization involving generalized invexity. J. Optim. Theory Appl., 80, 465-482 (1994). CrossRef

Rueda, N.G. and Hanson, M.A., Optimality criteria in mathematical programming involving generalized invexity. J. Math. Anal. Appl., 130, 375-385 (1998). CrossRef

Mukherjee, R.N. and Mishra, S.K., Multiobjective programming with semilocally convex functions. J. Math. Anal. Appl., 199, 409-424 (1996). CrossRef

Hachimi, M. and Aghezzaf, B., Sufficiency and duality in nondifferentiable multiobjective programming involving generalized type I functions. J. Math. Anal. Appl., 319, 110-123 (2006). CrossRef

Mishra, S.K. and Noor, M.A., Some nondifferentiable multi-objective programming problems. J. Math. Anal. Appl., 316, 472-482 (2006). CrossRef

Preda, V. and Stancu-Minasian, I.M., Duality in multiple objective programming involving semilocally preinvex and related functions. Glas. Mat. Ser. Ill., 32, 153-165 (1997).

Preda, V., Optimality and duality in fractional multiple objective programming involving semilocally preinvex and related functions. J. Math. Anal. Appl., 288, 365-382 (2003). CrossRef

Batista dos Santos, L., Osuna-G´omez, R., Rojas-Medar, M.A., Rufi´an-Lizana, A., Preinvex functions and weak efficient solutions for some vectorial optimization problem in Banach spaces. Comput. Math. Appl., 48, 885-895 (2004). CrossRef

Yu, G.L. and Liu, S.Y., Some vector optimization problems in Banach spaces with generalized convexity. Comput. Math. Appl., 54, 1403-1410 (2007). CrossRef

Chen, X.S., Some properties of semi-E-convex functions. J. Math. Anal. Appl., 275, 251-262 (2002). CrossRef

Hu, Q.J., Jian, J.B., Zheng, H.Y., Tang, C.M., Semilocal E-convexity and semilocal E-convex programming. Bull. Aust. Math. Soc., 75, 59-74 (2007). CrossRef

Fulga, C., Preda, V., Nonlinear programming with E-preinvex and local E-preinvex functions. Eur. J. Oper. Res., 192, 737-743 (2009). CrossRef

Luo, Z.M. and Jian, J.B., Some properties of semi-E-preinvex maps in Banach spaces. Nonlinear Anal: Real World Appl., 12, 1243-1249 (2011). CrossRef

Craven, B.D., Control and Optimization. Chapman and Hall, London, (1995). CrossRef

Niculescu, C., Optimality and duality in multiobjective fractional programming involving ρ-semilocally type I-preinvex and related functions. J. Math. Anal. Appl., 335, 7-19 (2007). CrossRef

Thank you for copying data from http://www.arastirmax.com