ISSN:
1573-2878
Schlagwort(e):
Generalized convex functions
;
generalized vector variational inequalities
;
multi-objective programming problems
;
necessary and sufficient conditions
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract In this paper, (α, φ,Q)-invexity is introduced, where α:X ×X → intR m + , φ:X ×X →X,X is a Banach space,Q is a convex cone ofR m . This unifies the properties of many classes of functions, such asQ-convexity, pseudo-linearity, representation condition, null space condition, andV-invexity. A generalized vector variational inequality is considered, and its equivalence with a multi-objective programming problem is discussed using (α, φ,Q)-invexity. An existence theorem for the solution of a generalized vector variational inequality is proved. Some applications of (α, φ,Q)-invexity to multi-objective programming problems and to a special kind of generalized vector variational inequality are given.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF00940559
Permalink
