Lan Kun-quan, Ding Xie-ping. Minimal and Maximal Fixed Point Theorems and Iterative Technique for Nonlinear Operators in Product Spaces[J]. Applied Mathematics and Mechanics, 1992, 13(3): 209-213.
Citation: Lan Kun-quan, Ding Xie-ping. Minimal and Maximal Fixed Point Theorems and Iterative Technique for Nonlinear Operators in Product Spaces[J]. Applied Mathematics and Mechanics, 1992, 13(3): 209-213.

Minimal and Maximal Fixed Point Theorems and Iterative Technique for Nonlinear Operators in Product Spaces

  • Received Date: 1991-02-11
  • Publish Date: 1992-03-15
  • In this paper, we study minimal and maximal fixed point theorems and iterative technique for nonlinear operators in product spaces. As a corollary of our result, some coupled fixed point theorems are obtained, which generalize the coupled fixed point theorems obtained by Guo Da-jun and Lankshmikantham[2] and the results obtained by Lan in [4] and [6].
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  • [1]
    Ladde, G. S., V. Lakshmikantham and A. S. Vatsala, Monotone Iterative techniques for nonlinear differential equations. Pitman (1985).
    [2]
    Guo Da-jun and V. Lakshmikantham, Coupled fixed points of nonlinear operators with applications, Nonlinear Anal., 11 (1987), 623-632.
    [3]
    Martin, R. H., Nonlinear Operators and Differential Equation, Wiley, New York (1976).
    [4]
    兰坤泉.混合单调映象、增映象和不动点,四川师范大学学报.(待发表)
    [5]
    余庆余,凝聚映象的不动点定理,数学学报.24(1981), 430-435,
    [6]
    兰坤泉,混含单调凝聚映象的藕合不动点,四川师范大学学报.(待发表)
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