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Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications

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Abstract

The author defines a concept of fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces. Using this concept, the author establishes several nonzero fixed point theorems of set-valued Φ -condensing mappings. These theorems extend some known results in [1,2,7,8,9].

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Authors and Affiliations

  1. Sichuan Normal University, Chengdu

    Ding Xie-ping

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  1. Ding Xie-ping
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Projects Supported by the Science Fund of the Chinese Academy of Sciences

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Xie-ping, D. Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications. Appl Math Mech 8, 211–218 (1987). https://doi.org/10.1007/BF02018546

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  • DOI: https://doi.org/10.1007/BF02018546

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