TITLE:
Set-Valued Non-Linear Random Implicit Quasivariational Inclusions
AUTHORS:
Salahuddin, Mohammad Kalimuddin Ahmad
KEYWORDS:
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
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.3,
March
21,
2013
ABSTRACT: 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.