On the problem of dissipative perturbations of nonexpansive mappings
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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 andT: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).
Key wordsnonexpansive mapping accretive mapping fixed point theorem nonlinear integral equation
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