Duality for ε-Variational Inequality

S. Kum, G. S. Kim and G. M. Lee ()
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S. Kum: Chungbuk National University
G. S. Kim: Pukyong National University
G. M. Lee: Pukyong National University

Journal of Optimization Theory and Applications, 2008, vol. 139, issue 3, No 11, 649-655

Abstract: Abstract In this paper, following the method in the proof of the composition duality principle due to Robinson and using some basic properties of the ε-subdifferential and the conjugate function of a convex function, we establish duality results for an ε-variational inequality problem. Then, we give Fenchel duality results for the ε-optimal solution of an unconstrained convex optimization problem. Moreover, we present an example to illustrate our Fenchel duality results for the ε-optimal solutions.

Keywords: ε-Variational inequality; Dual problems; Fenchel duality; ε-Optimal solutions (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-008-9403-5

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