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. https://www.knowall.blog/