G-Contractive Sequential Composite Mapping Theorem in Banach or Probabilistic Banach Space and Application to Prey-Predator System and A & H Stock Prices

Tianquan Yun

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DOI: 10.4236/am.2011.26092                

Abstract

Theorems of iteration g-contractive sequential composite mapping and periodic mapping in Banach or probabilistic Bannach space are proved, which allow some contraction ratios of the sequence of mapping might be larger than or equal to 1, and are more general than the Banach contraction mapping theorem. Application to the proof of existence of solutions of cycling coupled nonlinear differential equations arising from prey-predator system and A&H stock prices are given.

Keywords

G-Contractive Mapping, Periodic Mapping, Probabilistic Banach Space, Prey-Predator System, Differential Equation of Stock Price

Conflicts of Interest

The authors declare no conflicts of interest.

References

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