Set-valued cubic functional equationSet-valued quartic functional equationFixed pointIn this paper, we introduce a set-valued cubic functional equation and a set-valued quartic functional equation and prove the
A set valued function F oí X into B(X) is said to be con-tinuous at χ € X, if the sequence {Fxn} in B(X) converges to Fx whenever {xn} is a sequence in X converging to χ in X. If F is continuous at every point of X, we say that it is continuous. Fixed points ...
Fixed point theorems for set-valued maps in infinite dimensional spaces[J] 1970,Mathematische Annalen(2):87～98Halpern B., Fixed point theorems for set-valued maps in infinite dimensional spaces, Math. Ann. 189 (1970), 87-98.Fixed-point theorems for set-valued maps in infinite dimensional ...
set-valued mapping 摘要 We present new results regarding fixed point sets of various set-valued mappings using the concept of fixed point iteration schemes and the newly defined concept of fixed point resolutions. In particular, we prove that the fixed point sets of certain nonexpansive set-valued...
u∈E), the real function X∋x↦σϕ(x)(p)∈R∪{+∞} (resp. x↦σϕ(x)(u)) is upper semicontinuous. Observe that any upper semicontinuous map is upper hemicontinuous. If A⊂E, x∈E is an accumulation point of A and Γ:A⊸E is a set-valued map, then the lower...
By definition, the set of variables x(x1, x2,…,xn) for which a real-valued function f(x) is equal to a given constant is a level set. If n=2, the level set is a plane curve known as a level curve, and for n=3 the level set is known as a level surface. However, despite...
类型: MultiValuedProperty Position: Named 默认值: None 必需: False 接受管道输入: False 接受通配符: False 适用于: Security & Compliance -AnyOfRecipientAddressMatchesPatterns AnyOfRecipientAddressMatchesPatterns 参数指定自动标记策略规则的条件,该规则使用正则表达式在收件人电子邮件地址中查找文本模式。 可以通过...
In this paper, we show that if X is a nonempty compact convex subset of a real normed vector space, any two closed set-valued mappings \\(T, S: X \\rightrightarrows X\\), with nonempty and convex values, have a common fixed point whenver there exists a function \\(\\varphi \\...
Theorem 1[3]Let(X,d)be a complete metric space. Let T:X→X be a single-valued map satisfying the condition (1) Then:(i)T has a unique fixed point w in X,i.e. Fix(T) = {w};and(ii)the sequence{T[m](u)}converges to w for each u∈X. ...
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