Some Variants of the Ekeland Variational Principle for a Set-Valued Map

T. X. D. Ha
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T. X. D. Ha: Hanoi Institute of Mathematics

Journal of Optimization Theory and Applications, 2005, vol. 124, issue 1, No 10, 187-206

Abstract: Abstract This paper deals with the Ekeland variational principle (EVP) for a set-valued map F with values in a vector space E. Using the concept of cone extension and the Mordukhovich coderivative, we formulate some variants of the EVP for F under various continuity assumptions. We investigate also the stability of a set-valued EVP. Our approach is motivated by the set approach proposed by Kuroiwa for minimizing set-valued maps.

Keywords: Ekeland variational principle; set-valued maps; Mordukhovich coderivatives; stability (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-004-6472-y

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