An Extragradient Method without Monotonicity

Thidaporn Seangwattana, Somyot Plubtieng, Tadchai Yuying

Abstract

In this paper, we present an iterative process for finding a common element of solution sets of the variational inequality problem, without a monotone mapping, and fixed point of a nonexpansive mapping. Moreover, we prove a weak convergence theorem by using an our process and give a numerical experiment.