A modified parallel hybrid subgradient extragradient method for finding common solutions of variational inequality problems

Ponkamon Kitisak, Watcharaporn Cholamjiak, Damrongsak Yambangwai, Ritthicha Jaidee

Abstract

In this paper, we modify the parallel hybrid subgradient extragradient methods for finding common solutions of variational inequality problems in Hilbert spaces for a class of  Lipzchitz  continuous that the Lipschitz constant is unknown. We then prove the strong convergence theorems under some suitable conditions. Finally, we give an example in Euclidean spaces by applying our main theorem to solve signal recovery.