Generalized Minty Vector Variational-Like Inequalities and Vector Optimization Problems

S. Al-Homidan and Q. H. Ansari ()
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S. Al-Homidan: King Fahd University of Petroleum and Minerals
Q. H. Ansari: Aligarh Muslim University

Journal of Optimization Theory and Applications, 2010, vol. 144, issue 1, No 1, 11 pages

Abstract: Abstract In this paper, we study the relationship among the generalized Minty vector variational-like inequality problem, generalized Stampacchia vector variational-like inequality problem and vector optimization problem for nondifferentiable and nonconvex functions. We also consider the weak formulations of the generalized Minty vector variational-like inequality problem and generalized Stampacchia vector variational-like inequality problem and give some relationships between the solutions of these problems and a weak efficient solution of the vector optimization problem.

Keywords: Generalized vector variational-like inequalities; Vector optimization problems; Invex functions; Generalized subdifferential (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (8)

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DOI: 10.1007/s10957-009-9591-7

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