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On the Problem of Dissipative Perturbations of Nonexpansive Mappings

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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 → 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 L 2(Ω).

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Authors and Affiliations

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

    Yuan-song Luo

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  1. Yuan-song Luo
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Luo, Ys. On the Problem of Dissipative Perturbations of Nonexpansive Mappings. Applied Mathematics and Mechanics 22, 478–482 (2001). https://doi.org/10.1023/A:1016357903331

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