Set-Valued Non-Linear Random Implicit Quasivariational Inclusions

Salahuddin  , Mohammad Kalimuddin Ahmad

Aligarh Muslim University, Aligarh, India.

DOI: 10.4236/am.2013.43063                

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.

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

Conflicts of Interest

The authors declare no conflicts of interest.

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