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The best approximation and coincidence theorems for composites of acyclic mappings

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Abstract

Some new coincidence theorems involving a new class of set-valued mappings containing composites of acyclic mappings defined in a contractible space are proved. For applications, some best approximation theorems and coincidence theorems for set-valued mappings are also given. A number of known results in recent literature are improved and generalized by the theorems in this paper.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan Normal University, 610066, Chengdu, P R China

    Ding Xieping

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  1. Ding Xieping
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Project supported by the National Natural Science Foundation of China (19871059)

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Xieping, D. The best approximation and coincidence theorems for composites of acyclic mappings. Appl Math Mech 20, 485–494 (1999). https://doi.org/10.1007/BF02463744

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  • DOI: https://doi.org/10.1007/BF02463744

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