Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (3): 308-313.

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Existence and Uniqueness Theorems of Solutions for Nonlinear Operator Equations and Applications

Lou Bendong1, Song Guangxing2   

  1. 1 Department of Mathematics, Shandong University, Jinan 250100;
    2 Department of Applied Mathematics, Petroleum University, Dongying 257062
  • Received:1995-10-09 Online:1997-06-26 Published:1997-06-26

Abstract: In this paper, we investigate the existence and uniqueness of solutions for a class of nonlinear operator equations in abstract functional spaces by means of iterative technique and apply our main results to integral equations in Banach spaces.

Key words: Cone, Operator equation, Iterative method

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