Efficiency in generalised V-KT-pseudoinvex control problems

ABSTRACT In this paper, (strongly) b-V-KT-pseudoinvex multidimensional control problems are considered. Concretely, we introduce a generalised condition on the functionals involved in a multidimensional vector control problem and prove that a (strongly) b-V-KT-pseudoinvex multidimensional control problem is characterized so that all Kuhn–Tucker points are efficient solutions. In addition, the theoretical results derived in this paper are illustrated with an application.

[1]  M. A. Hanson.  On sufficiency of the Kuhn-Tucker conditions , 1981 .

[2]  D. H. Martin.  The essence of invexity , 1985 .

[3]  B. Mond,et al.  Duality and sufficiency in control problems with invexity , 1988 .

[4]  Antonio Rufián-Lizana,et al.  KT-invex control problem , 2008, Appl. Math. Comput..

[5]  Antonio Rufián-Lizana,et al.  Efficient solutions in V-KT-pseudoinvex multiobjective control problems: A characterization , 2009, Appl. Math. Comput..

[6]  Yurilev Chalco-Cano,et al.  Optimality conditions for generalized differentiable interval-valued functions , 2015, Inf. Sci..

[7]  Yurilev Chalco-Cano,et al.  Generalized convexity in fuzzy vector optimization through a linear ordering , 2015, Inf. Sci..

[8]  Savin Treanţă.  Multiobjective Fractional Variational Problem on Higher-Order Jet Bundles , 2016 .

[9]  Yurilev Chalco-Cano,et al.  New efficiency conditions for multiobjective interval-valued programming problems , 2017, Inf. Sci..

[10]  Manuel Arana-Jiménez,et al.  On generalized KT-pseudoinvex control problems involving multiple integral functionals , 2018, Eur. J. Control.

[11]  Savin Treanta.  Higher-order Hamilton dynamics and Hamilton-Jacobi divergence PDE , 2018, Comput. Math. Appl..

[12]  Savin Treanţă,et al.  Efficiency conditions in vector control problems governed by multiple integrals , 2018 .

[13]  Manuel Arana-Jiménez,et al.  KT-pseudoinvex multidimensional control problem: KT-pseudoinvex multidimensional control problem , 2018 .