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Elxed point theorem of composition g-contraction mapping and its applications

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Abstract

Any composition sequential mapping, periodic composition mapping of a complete non-empty metric space M into M with geometric mean contraction ratio less than 1 (simplifying as “g-contraction mapping”) has a unique fixed point in M. Applications of the theorem to the proof of existence and uniqueness of the solutions of a set of non-linear differential equations and a coupled integral equations of symmetric bending of shallow shell of revolution are given.

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Authors and Affiliations

  1. Department of Mechanics, South China University of Technology, 510641, Guangzhou, P R China

    Yun Tian-quan

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  1. Yun Tian-quan
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Paper from YUN Tian-quan, Member of Editorial Committee, AMM

Biography: YUN Tian-quan (1936-), Professor

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Tian-quan, Y. Elxed point theorem of composition g-contraction mapping and its applications. Appl Math Mech 22, 1132–1139 (2001). https://doi.org/10.1007/BF02436449

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  • DOI: https://doi.org/10.1007/BF02436449

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