Vector Ekeland’s variational principle in an <Emphasis Type="Italic">F</Emphasis>-type topological space |
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| Authors: | Guang-Ya Chen X Q Yang Hui Yu |
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| Institution: | (1) Institute of Systems Science, Chinese Academy of Sciences, Beijing, 100080, China;(2) Department of Applied Mathematics, The Hong Kong Polytechnic University, Kowloon, Hong Kong, China;(3) School of Economics Business and Administration, Chongqing University, Chongqing, 400030, China |
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| Abstract: | In this paper, we first give a vector-valued version of Brézis and Browder’s scalar general principle. We then apply the vector-valued
general principle to study a vector Ekeland’s variational principle in a F-type topological space, which unifies and improves the corresponding vector-valued Ekeland’s variational results in complete
metric space.
This project was partially supported by the Research Grants Council of Hong Kong (BG771) and National Natural Science Foundation
of China (70501015, 70401006). |
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| Keywords: | Vector Ekeland’ s Variational Principle F-type topological space Cauchy sequence |
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