Nonlinear iteration method for monotone variational inequality and fixed point problem

Yekini Shehu · Fixed Point Theory · 2019

Using the subgradient extragradient and Halpern methods, we prove two strong convergence results for finding a solution of a variational inequality problem involving Lipschitz continuous monotone with the Lipschitz constant unknown and the solution is also a fixed point a quasi-nonexpansive mapping in real Hilbert space.

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