Vector optimization over cones involving support functions using generalized $$(\Phi ,\rho )$$ -convexity.

Autor: Kapoor, Malti
Zdroj: OPSEARCH; Jun2017, Vol. 54 Issue 2, p351-364, 14p
Abstrakt: In this paper we introduce new classes of cone- $$(\Phi ,\rho )$$ -convex functions which extend several generalized convexity notions introduced in the literature. We then employ the defined functions to study optimality and duality results for a vector optimization problem over cones involving support functions. A numerical example is given to illustrate the notions introduced and the results proved. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index