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Fixed point theorems for better admissible multimaps on abstract convex spaces

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Abstract

In this paper, a better admissible class B+ is introduced and a new fixed point theorem for better admissible multimap is proved on abstract convex spaces. As a consequence, we deduce a new fixed point theorem on abstract convex ϕ-spaces. Our main results generalize some recent work due to Lassonde, Kakutani, Browder, and Park.

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Authors and Affiliations

  1. School of Mathematics and Computer Science, Chongqing Normal University, Chongqing, 400047, China

    Liu Xue-wen, Zhang Yue & Tan Ren-xin

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  1. Liu Xue-wen
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  2. Zhang Yue
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  3. Tan Ren-xin
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Corresponding author

Correspondence to Liu Xue-wen.

Additional information

Supported by the National Science Foundation of China(Grant 10626025) and Research Grant of Chongqing Key Laboratory of Operations Research and System Engineering.

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Xue-wen, L., Yue, Z. & Ren-xin, T. Fixed point theorems for better admissible multimaps on abstract convex spaces. Appl. Math. J. Chin. Univ. 25, 55–62 (2010). https://doi.org/10.1007/s11766-010-2051-1

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  • DOI: https://doi.org/10.1007/s11766-010-2051-1

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