General Ekeland's Variational Principle for Set-Valued Mappings

G. Y. Chen, X. X. Huang and S. H. Hou
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G. Y. Chen: Academia Sinica
X. X. Huang: Chongqing Normal University
S. H. Hou: Hong Kong Polytechnic University

Journal of Optimization Theory and Applications, 2000, vol. 106, issue 1, No 8, 164 pages

Abstract: Abstract In this paper, we introduce the concept of approximate solutions for set-valued optimization problems. A sufficient condition for the existence of approximate solutions is obtained. A general Ekeland's variational principle for set-valued mappings in complete ordered metric spaces and complete metric spaces are derived. These results are generalizations of results for vector-valued functions in Refs. 1–4.

Keywords: Set-valued optimization; variational principle; Hausdorff maximality principle (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004663208905

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