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<i>H</i>(.,.)<i>- φ - η -</i> Accretive Operators and Generalized Variational-Like Inclusions
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American Journal of Operations Research·Volume 01 (2011)·Pages 305–311·Published 21 December 2011·DOI10.4236/ajor.2011.14035
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Abstract
In this paper, we generalize H(.,.) accretive operator introduced by Zou and Huang [1] and we call it <i>H(.,.)- φ - η -</i> accretive operator. We define the resolvent operator associated with <i>H(.,.)- φ - η -</i> accretive operator and prove its Lipschitz continuity. By using these concepts an iterative algorithm is suggested to solve a generalized variational-like inclusion problem. Some examples are given to justify the definition of <i>H(.,.)- φ - η -</i> accretive operator.
Keywords<i>H</i>(..)<i>- φ - η -</i>Accretive OperatorVariational-Like InclusionResolvent OperatorAlgorithmConvergence
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