YUN Tian-quan. Fixed Point Theorem of Composition g-Contraction Mapping and Its Applications[J]. Applied Mathematics and Mechanics, 2001, (10): 1022-1028.
Citation: YUN Tian-quan. Fixed Point Theorem of Composition g-Contraction Mapping and Its Applications[J]. Applied Mathematics and Mechanics, 2001, (10): 1022-1028.

Fixed Point Theorem of Composition g-Contraction Mapping and Its Applications

  • Received Date: 2000-05-26
  • Rev Recd Date: 2001-05-16
  • Publish Date: 2001-10-15
  • Any composition sequential mapping,periodic composition mapping of a complete nonempty 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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