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Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (4): 478-482.

• 论文 • 上一篇    下一篇

ON THE PROBLEM OF DISSIPATIVE PERTURBATIONS OF NONEXPANSIVE MAPPINGS

罗元松   

  1. Department of Mathematics, Yibin Teachers’ College, Yibin 644007, P R China
  • 收稿日期:1999-10-08 修回日期:2000-03-07 出版日期:2001-04-18 发布日期:2001-04-18

ON THE PROBLEM OF DISSIPATIVE PERTURBATIONS OF NONEXPANSIVE MAPPINGS

LUO Yuan-song   

  1. Department of Mathematics, Yibin Teachers’ College, Yibin 644007, P R China
  • Received:1999-10-08 Revised:2000-03-07 Online:2001-04-18 Published:2001-04-18

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摘要： Some fixed point theorems for mappings of the type -A+T are established, where Pis a cone in a Hilbert space, A:P→2P is an accretive mappings and T:P→P is a nonexpansive mappings. In application, the results presented in the paper are used to study the existence problem of solutions for a class of nonlinear integral equations in L2(Ω).

Abstract: Some fixed point theorems for mappings of the type -A+T are established, where Pis a cone in a Hilbert space, A:P→2P is an accretive mappings and T:P→P is a nonexpansive mappings. In application, the results presented in the paper are used to study the existence problem of solutions for a class of nonlinear integral equations in L2(Ω).

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