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T. Q. Yun and G. L. Lei, “Simplest Differential Equation of Stock Price, Its Solution and Relation to Assumption of Black-Scholes Model,” Applied Mathematics and Mechanics, Vol. 24, No. 6, 2003, pp. 654-658. doi:10.1007/BF02437866

has been cited by the following article:

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

  AUTHORS: Tianquan Yun

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

  JOURNAL NAME: Applied Mathematics, Vol.2 No.6, June 21, 2011

  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.