ON THE PROBLEM OF DISSIPATIVE PERTURBATIONS OF NONEXPANSIVE MAPPINGS  

ON THE PROBLEM OF DISSIPATIVE PERTURBATIONS OF NONEXPANSIVE MAPPINGS

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作  者:LUO Yuan-song(罗元松) 

机构地区:[1]Department of Mathematics, Yibin Teachers'' College,Yibin 644007, P R China

出  处:《Applied Mathematics and Mechanics(English Edition)》2001年第4期478-482,共5页应用数学和力学(英文版)

基  金:theMajorScientificResearchFundoftheEducationalCommitteeofSichuanProvince (No .[1 998]1 62‘OnNonlinearEquationResearchofAccret

摘  要: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 far a class of nonlinear integral equations in L-2 (Omega).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 far a class of nonlinear integral equations in L-2 (Omega).

关 键 词:nonexpansive mapping accretive mapping fixed point theorem nonlinear integral equation 

分 类 号:O177.91[理学—数学]

 

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