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Continuous selection theorems for Fan-Browder mappings in topological spaces and their applications

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Abstract

The concept of Fan-Browder mappings was first introduced in topological spaces without any convex structure. Then a new continuous selection theorem was obtained for the Fan-Browder mapping with range in a topological space without any convex structure and noncompact domain. As applications, some fixed point theorems, coincidence theorems and a nonempty intersection theorem were given. Both the new concepts and results unify and extend many known results in recent literature.

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Authors and Affiliations

  1. School of Mathematics and Finance, Southwest University, Chongqing, 400715, P. R. China

    Yang Ming-ge  (杨明歌) & Deng Lei  (邓磊)

Authors
  1. Yang Ming-ge  (杨明歌)
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  2. Deng Lei  (邓磊)
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Corresponding author

Correspondence to Deng Lei  (邓磊).

Additional information

Communicated by DING Xie-ping

Project supported by the Natural Science Foundation of Chongqing (CSTC)(No.2005BB2097)

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Yang, Mg., Deng, L. Continuous selection theorems for Fan-Browder mappings in topological spaces and their applications. Appl Math Mech 27, 493–500 (2006). https://doi.org/10.1007/s10483-006-0409-z

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  • DOI: https://doi.org/10.1007/s10483-006-0409-z

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Chinese Library Classification

2000 Mathematics Subject Classification

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