Mann and Ishikawa Type Perturbed Iterative Algorithms for Generalized Quasivariational Inclusions

In this paper, we introduce a class of generalized quasivariational inclusions and show its equivalence with a class of fixed point problems by making use of the properties of proximal maps. Using this equivalence, we develop the Mann and Ishikawa type perturbed iterative algorithms for this class of generalized quasivariational inclusions. Further, using fixed point techniques, we prove the existence of solutions for the class of generalized quasivariational inclusions and discuss the convergence criteria for the perturbed algorithms. Our algorithms and results improve and generalize many known corresponding algorithms and results.