Abstract :
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.
