ISSN:
1573-2878
Keywords:
variational-like inequalities
;
vector optimization problems
;
generalized solutions
;
subinvex functions
;
η-subdifferential
;
fixed points
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper, we prove the equivalence among the Minty vector variational-like inequality, Stampacchia vector variational-like inequality, and a nondifferentiable and nonconvex vector optimization problem. By using a fixed-point theorem, we establish also an existence theorem for generalized weakly efficient solutions to the vector optimization problem for nondifferentiable and nonconvex functions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004697127040
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