Iterative Approximation Of Fixed Point For Some Mappings And Solution For Random Variational Inclusion Problems

In this paper,first we study modified iterative approximation of generalized projection.The convergence of modified iterative sequences of fixed points for a class of generalized GV-semi-asymptotically weak contractive mappings is studied under the framework of Banach space,the strong convergence theorem of modified iterative sequences with mixed errors for generalized G-semi-asymptotically weak contractive mappings with fixed points is established under the framework of Hilbert space.Next,we introduce the multistep random iterative sequences for finite random strictly hemicontractive operators,and substituting range bounded conditions with the random generalized Lipschitz conditions,we establish the almost stability theorems of multistep iterative sequences for finite random strictly hemi-contractive operators.Finally,the convergence problem of random Noor iterative sequences with mixed errors of solutions for random variational inclusion problems with ?-stongly accretive type mappings is studied in separable reflexive Banach spaces without any boundedness,which extend and improve the corresponding results of some reference.