Auxiliary principle technique for solving regularized nonconvex mixed equilibrium problems

Qamrul Hasan Ansari, Javad Balooee · Fixed Point Theory · 2019

In this paper, we introduce a regularized nonconvex mixed equilibrium problem and suggest iterative algorithms for solving such a problem by using the auxiliary principle technique. The convergence analysis of the proposed iterative algorithms is discussed either under pseudomonotonicity or partially mixed relaxed and strong monotonicity of type (I) property of the bifunctions involved in the formulation. We also point out some fatal errors in [M.A. Noor et al.: On nonconvex bifunction variational inequalities. Optim. Lett. 6,

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