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Set-Valued Non-Linear Random Implicit Quasivariational Inclusions

Set-Valued Non-Linear Random Implicit Quasivariational Inclusions
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摘要 In this paper, we propose iterative algorithms for set valued nonlinear random implicit quasivariational inclusions. We define the related random implicit proximal operator equations and establish an equivalence between them. Finally, we prove the existence and convergence of random iterative sequences generated by random iterative algorithms. In this paper, we propose iterative algorithms for set valued nonlinear random implicit quasivariational inclusions. We define the related random implicit proximal operator equations and establish an equivalence between them. Finally, we prove the existence and convergence of random iterative sequences generated by random iterative algorithms.
出处 《Applied Mathematics》 2013年第3期421-428,共8页 应用数学(英文)
关键词 Set Valued Nonlinear RANDOM IMPLICIT Quasivariational Inclusions RANDOM IMPLICIT Proximal Operator Equations Equivalence Relations RANDOM Iterative Algorithms Measurable SPACES Separable Real Hilbert SPACES RANDOM Strongly MONOTONE RANDOM Relaxed MONOTONE RANDOM Lipschitz Continuous MAPPINGS Set Valued Nonlinear Random Implicit Quasivariational Inclusions Random Implicit Proximal Operator Equations Equivalence Relations Random Iterative Algorithms Measurable Spaces Separable Real Hilbert Spaces Random Strongly Monotone Random Relaxed Monotone Random Lipschitz Continuous Mappings
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