Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (3): 227-231.

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MINIMAL AND MAXIMAL FIXED POINT THEOREMS AND ITERATIVE TECHNIQUE FOR NONLINEAR OPERATORS IN PRODUCT SPACES

Lan Kun-quan, Ding Xie-ping   

  1. Sichuan Normal University, Chengdu
  • Received:1991-02-11 Online:1992-03-18 Published:1992-03-18
  • Supported by:
    National Natural Science Foundation of China

Abstract: 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].

Key words: minimal and maximal fixed point, coupled fixed point

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