KnowraInfimumLinked fromLinked fromThe 10 pages that link to Infimum, each with the reason it gives.All 10Broader topic 1Related 5Narrower topic 1Compared with 3SupremumCompared with: It is the order-dual notion, defined through lower bounds instead of upper bounds.Extreme value theoremRelated: The theorem likewise turns the infimum of the function’s image into an attained minimum.Monotone sequenceRelated: A bounded nonincreasing sequence converges to the infimum of its terms.Upper boundCompared with: It is the lower-bound counterpart of a supremum.Monotone convergence theoremRelated: A decreasing bounded sequence converges to the infimum of its terms.Fatou's lemmaBroader topic: Infima of function tails form the increasing sequence underlying the standard proof.Caristi fixed-point theoremRelated: The proof selects points with potential values approaching an infimum.Greatest element and least elementCompared with: An infimum may exist without being a least element because it can lie outside the set.Join and meetRelated: This is the order-theoretic name for a meet of a subset.Riesz's lemmaNarrower topic: The proof chooses a subspace element nearly attaining the infimum that defines distance.