Set-Valued Non-Linear Random Implicit Quasivariational Inclusions

• 作者: Mohammad Kalimuddin Ahmad Salahuddin &emsp
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 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
• 年，卷（期）: yysxyw_2013,（3）
• 页码范围: 421-428
• 页数: 8页
• 分类号: O1

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.