Generalization of Ordering Principles and Applications |
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| Authors: | J Zhu S J Li |
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| Institution: | (1) Department of Mathematics, Xuzhou Normal University, Xuzhou, People’s Republic of China;(2) Institute of Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing, People’s Republic of China |
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| 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. |
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| Keywords: | Maximal elements Ekeland variational principle Fixed points Multivalued operators |
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