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An Extragradient Method without Monotonicity

Thidaporn Seangwattana, Somyot Plubtieng, Tadchai Yuying


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.

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|ISSN 1686-0209|