Modified Mann Subgradient-like Extragradient Rules for Variational Inequalities and Common Fixed Points Involving Asymptotically Nonexpansive Mappings

In a real Hilbert space, we aim to investigate two modified Mann subgradient-like methods find solution pseudo-monotone variational inequalities, which is also common fixed point of finite family nonexpansive mappings and an asymptotically mapping. We obtain strong convergence results for the sequences constructed by these proposed rules. give some examples illustrate our analysis.