Necessary Conditions in Infinite-Horizon Control Problems that Need no Asymptotic Assumptions

Khlopin, Dmitry

doi:10.1007/s11228-023-00672-5

Search citation statements

Order By: Relevance

Paper Sections

Select...

Subdifferentials Of the Upper Limit Of Continuous Functions1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The following estimate of the subdifferential of the upper limit function is the enlargement of [11,Lemma 6] on reflexive spaces as well as the refinement of [12, Theorem 6.1(a)] in the case of continuous functions; its proof is similar to that of [12,Theorem 6.1(a)].…”

Section: Subdifferentials Of the Upper Limit Of Continuous Functionsmentioning

confidence: 94%

On Two-Sided Unidirectional Mean Value Inequality in a Fréchet Smooth Space

Khlopin

2023

UMJ

View full text Add to dashboard Cite

The paper is devoted to a new unidirectional mean value inequality for the Fréchet subdifferential of a continuous function. This mean value inequality finds an intermediate point and localizes its value both from above and from below; for this reason, the inequality is called two-sided. The inequality is considered for a continuous function defined on a Fréchet smooth space. This class of Banach spaces includes the case of a reflexive space and the case of a separable Asplund space. As some application of these inequalities, we give an upper estimate for the Fréchet subdifferential of the upper limit of continuous functions defined on a reflexive space.

show abstract

Section: Subdifferentials Of the Upper Limit Of Continuous Functionsmentioning

confidence: 94%

On Two-Sided Unidirectional Mean Value Inequality in a Fréchet Smooth Space

Khlopin

2023

UMJ

View full text Add to dashboard Cite

show abstract

Necessary Conditions in Infinite-Horizon Control Problems that Need no Asymptotic Assumptions

Cited by 1 publication

References 41 publications

On Two-Sided Unidirectional Mean Value Inequality in a Fréchet Smooth Space

On Two-Sided Unidirectional Mean Value Inequality in a Fréchet Smooth Space

Contact Info

Product

Resources

About