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Set-Valued Non-Linear Random Implicit Quasivariational Inclusions
Aligarh Muslim University, Aligarh, India
Aligarh Muslim University, Aligarh, India
- 1 Aligarh Muslim University, Aligarh, India
- 2 Aligarh Muslim University, Aligarh, India
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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.
KeywordsSet Valued Nonlinear Random Implicit Quasivariational InclusionsRandom Implicit Proximal Operator EquationsEquivalence RelationsRandom Iterative AlgorithmsMeasurable SpacesSeparable Real Hilbert SpacesRandom Strongly MonotoneRandom Relaxed MonotoneRandom Lipschitz Continuous Mappings
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