Zhang Shi-sheng. Some Existence Theorems of Common and Coincidence Solutions for a Class of Functional Equations Arising in Dynamic Programming[J]. Applied Mathematics and Mechanics, 1991, 12(1): 31-37.
Citation: Zhang Shi-sheng. Some Existence Theorems of Common and Coincidence Solutions for a Class of Functional Equations Arising in Dynamic Programming[J]. Applied Mathematics and Mechanics, 1991, 12(1): 31-37.

Some Existence Theorems of Common and Coincidence Solutions for a Class of Functional Equations Arising in Dynamic Programming

  • Received Date: 1989-12-05
  • Publish Date: 1991-01-15
  • Same existence theorems of common and coincidence solutions for a class of more general systems of functional equations arising in dynamic programming are shown. The results presented in this paper not only contain the corresponding results of [6,7] as special cases, hut also give an existence theorem of solutions for a class of functional equations suggested by Wang[2,5] recently.
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    wang Chung-lie, The principle and models of dynamic programming(Ⅲ),J. Math. Anal.Appl., 135(1988). 284-296.
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    Wang Chung-lie, The principle and models ofdynamic programming (V), J. Math. Anal. Appl.137 (1989), 161-167.
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    Bhakta. P. C. and Sumitra Mitra, Some existence theorems for functional equations arising in dynamic programming, J. Math.,Anal. Appl. 98(1984), 348-366
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    Baskaran, R. and P. V. Subrahmanyam, A note on the solution of a class of functional equations, Applicable Artalosis, 22(1986). 235-241.
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    张石生,《不动点理论及应用》,重庆出版社(1984).
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    Chang Shih-sen (Zhang Shi-Sheng), On common fixed point theorem for a family of Φ-contraction mappings, Math. Japonica, 29(1984), 527-536.
    [10]
    Zhang Shi-sheng, Fixed point theorems for generalized Meir-Keeler type mappings, J. Sichuan Univ..Nutural Sci. Edition. 2(1983), 17-23.
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