Fixed points of discontinuous multivalued increasing operators in Banach spaces with applications |
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| Authors: | Shihuang Hong |
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| Institution: | College of Science and Engineering, Hainan University, Haikou 570228, People's Republic of China |
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| Abstract: | By using relatively weakly compactness conditions, we obtain existence theorems of fixed points for discontinuous multivalued increasing operators in Banach spaces. As an application, we utilize the results obtained in Section 2 to lead to the existence principles for integral inclusions of Hammerstein type multivalued maps. |
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| Keywords: | Relatively weakly compact Increasing operator Fixed point Cone Partial ordering |
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