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Ansari, Q. H.; Yao, J. C.

On nondifferentiable and nonconvex vector optimization problems. (English) Zbl 0970.90092

J. Optimization Theory Appl. 106, No. 3, 475-488 (2000).
In the past, vector variational inequalities and their generalizations have been used as a tool to solve vector optimization problems. The authors prove equivalence among Minty vector variational-like inequality, Stampacchia vector variational inequality, both for subdifferentiable functions and nondifferentiable nonconvex vector optimization problems. By using a fixed-point theorem the authors establish an existence theorem for generalized weakly efficient solutions to the vector optimization problem for nondifferentiable and nonconvex functions.
Reviewer: Tadeusz Trzaskalik (Katowice)

Cited in 31 Documents

MSC:

90C29 Multi-objective and goal programming

Keywords:

variational-like inequalities; vector optimization problems; generalized solutions; subinvex functions; h-subdifferential; fixed points
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\textit{Q. H. Ansari} and \textit{J. C. Yao}, J. Optim. Theory Appl. 106, No. 3, 475--488 (2000; Zbl 0970.90092)
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References:

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