In this paper, we survey the split problem of fixed points two pseudocontractive operators and variational inequalities pseudomonotone in Hilbert spaces. We present a Tseng-type iterative algorithm for solving by using self-adaptive techniques. Under certain assumptions, show that proposed converges weakly to solution problem. An application is included.

in this paper‎, ‎strong convergence theorems of ishikawa type implicit iteration‎ ‎process with errors for a finite family of asymptotically‎ ‎nonexpansive in the intermediate sense and asymptotically‎ ‎quasi-pseudocontractive type mappings in normed linear spaces are‎ ‎established by using a new analytical method‎, ‎which essentially‎ ‎improve and extend some recent results obtained by yang‎ ‎...

In this paper, we investigate the proximal split feasibility algorithm and fixed point problem in Hilbert spaces. We propose an iterative for finding a common element of solution L-Lipschitz pseudocontractive operator. demonstrate that considered converges strongly to investigated problems under some mild conditions.