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Nonempty intersection theorems in topological spaces with applications

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Abstract

In this paper, we establish some new nonempty intersection theorems for generalized L-KKM mappings and prove some new fixed point theorems for set-valued mappings under suitable conditions in topological spaces. As applications, an existence theorem for an equilibrium problem with lower and upper bounds and two existence theorems for a quasi-equilibrium problem with lower and upper bounds are obtained in topological spaces. Our results generalize some known results in the literature.

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Authors and Affiliations

  1. Department of Economic Mathematics, South Western University of Finance and Economics, Chengdu, 610074, P. R. China

    Min Fang  (方敏)

  2. Department of Mathematics, Sichuan University, Chengdu, 610064, P. R. China

    Nan-jing Huang  (黄南京)

Authors
  1. Min Fang  (方敏)
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  2. Nan-jing Huang  (黄南京)
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Corresponding author

Correspondence to Nan-jing Huang  (黄南京).

Additional information

Communicated by Xie-ping DING

Project supported by the National Natural Science Foundation of China (Nos. 10671135 and 70831005), the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20060610005), and the Key Project of Chinese Ministry of Education (No. 109140)

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Fang, M., Huang, Nj. Nonempty intersection theorems in topological spaces with applications. Appl. Math. Mech.-Engl. Ed. 30, 905–914 (2009). https://doi.org/10.1007/s10483-009-0709-2

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  • DOI: https://doi.org/10.1007/s10483-009-0709-2

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