On Two Iterative Methods for Mixed Monotone Variational Inequalities
نویسندگان
چکیده
A mixed monotone variational inequality MMVI problem in a Hilbert space H is formulated to find a point u∗ ∈ H such that 〈Tu∗, v − u∗〉 φ v − φ u∗ ≥ 0 for all v ∈ H, where T is a monotone operator and φ is a proper, convex, and lower semicontinuous function onH. Iterative algorithms are usually applied to find a solution of an MMVI problem. We show that the iterative algorithm introduced in the work of Wang et al., 2001 has in general weak convergence in an infinitedimensional space, and the algorithm introduced in the paper of Noor 2001 fails in general to converge to a solution.
منابع مشابه
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