On the Problem of Dissipative Perturbations of Nonexpansive Mappings

LUO Yuan-song

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LUO Yuan-song. On the Problem of Dissipative Perturbations of Nonexpansive Mappings[J]. Applied Mathematics and Mechanics, 2001, 22(4): 420-424.

Citation:

LUO Yuan-song. On the Problem of Dissipative Perturbations of Nonexpansive Mappings[J]. Applied Mathematics and Mechanics, 2001, 22(4): 420-424.

Citation:

LUO Yuan-song. On the Problem of Dissipative Perturbations of Nonexpansive Mappings[J]. Applied Mathematics and Mechanics, 2001, 22(4): 420-424.

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On the Problem of Dissipative Perturbations of Nonexpansive Mappings

LUO Yuan-song

Department of Mathematics, Yibin Teachers' College, Yibin, Sichuan 644007, P R China

Received Date: 1999-10-08
Rev Recd Date: 2000-03-07
Publish Date: 2001-04-15

Abstract

Abstract

Some fixed point theorems for mappings of the type-A+T are established,where P is a cone in a Hilbert space,A:P→2^P 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).
- nonexpansive mapping,
- accretive mapping,
- fixed point theorem,
- nonlinear integral equation

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References(12)

References

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