In this paper, we consider and study a class of general nonlinear operator inclusion couples involving (A,eta,m)-resolvent operators and relaxed cocoercive type operators in Hilbert spaces. We also construct a new per...
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In this paper, we consider and study a class of general nonlinear operator inclusion couples involving (A,eta,m)-resolvent operators and relaxed cocoercive type operators in Hilbert spaces. We also construct a new perturbed iterative algorithm framework with errors and investigate variational graph convergence analysis for this algorithmframework in the context of solving the nonlinear operator inclusion couple along with some results on the resolvent operator corresponding to (A,eta,m)-maximal monotonicity. The obtained results improve and generalize some well known results in recent literatures. (C) 2011 Elsevier B.V. All rights reserved.
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