2020
DOI: 10.1186/s13660-020-02323-x
|View full text |Cite
|
Sign up to set email alerts
|

On weak sharp solutions in $(\rho , \mathbf{b}, \mathbf{d})$-variational inequalities

Abstract: In this paper, weak sharp solutions are investigated for a variational-type inequality governed by (ρ, b, d)-convex path-independent curvilinear integral functional. Moreover, an equivalence between the minimum principle sufficiency property and the weak sharpness property of the solution set associated with the considered variational-type inequality is established.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1

Citation Types

0
4
0

Year Published

2020
2020
2024
2024

Publication Types

Select...
8

Relationship

4
4

Authors

Journals

citations
Cited by 9 publications
(4 citation statements)
references
References 16 publications
(21 reference statements)
0
4
0
Order By: Relevance
“…Over several decades Hilbert-type inequalities have been attracted many researchers and several refinements and extensions have been done to the previous results, we refer the reader to the works [15][16][17][18][19][20][21][22][23][24][25][26].…”
Section: Definitionmentioning
confidence: 99%
“…Over several decades Hilbert-type inequalities have been attracted many researchers and several refinements and extensions have been done to the previous results, we refer the reader to the works [15][16][17][18][19][20][21][22][23][24][25][26].…”
Section: Definitionmentioning
confidence: 99%
“…Knowing the implications of variational analysis in multifarious fields, like optimization or control theory, and taking into account some techniques presented by Clarke [8], Treanţȃ [9][10][11][12][13][14][15], Jayswal and Singh [16], Kassay and Rȃdulescu [17], Mititelu and Treanţȃ [18], in this paper, we investigate weak sharp type solutions for a family of variational integral inequalities defined by a convex functional of the multiple integral type. A connection with the sufficiency property associated with the minimum principle is formulated, as well.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, the study of well posedness for vector variational inequalities and the associated optimization problems was formulated by Jayswal and Shalini [29]. On the other hand, an important and interesting extension of variational inequality problems is that of multidimensional variational inequality problems and the corresponding multi-time optimization problems (see [30][31][32][33][34][35][36][37][38][39][40]).…”
Section: Introductionmentioning
confidence: 99%