On Nondifferentiable and Nonconvex Vector Optimization Problems

Q. H. Ansari and C> Yao J>
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Q. H. Ansari: Aligarh Muslim University
C> Yao J>: National Sun Yat-sen University

Journal of Optimization Theory and Applications, 2000, vol. 106, issue 3, No 2, 475-488

Abstract: 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.

Keywords: variational-like inequalities; vector optimization problems; generalized solutions; subinvex functions; η-subdifferential; fixed points (search for similar items in EconPapers)
Date: 2000
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Citations: View citations in EconPapers (6)

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DOI: 10.1023/A:1004697127040

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