Generalization of Ordering Principles and Applications

J. Zhu () and S. J. Li
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J. Zhu: Xuzhou Normal University
S. J. Li: Chinese Academy of Sciences

Journal of Optimization Theory and Applications, 2007, vol. 132, issue 3, No 9, 493-507

Abstract: Abstract In this paper, we prove some new ordering principles which generalize the well-known Brézis–Browder principle and uniformly generalize some results in the literature. As an application, we prove some vector Ekeland-type variational principles in F-type topological spaces and some new Mönch-type fixed-point theorems for discontinuous multivalued operators in F-type topological spaces and Banach spaces with weak topology.

Keywords: Maximal elements; Ekeland variational principle; Fixed points; Multivalued operators (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-007-9181-5

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