On a class of variational-type inequalities involving curvilinear integral functionals

Abstract

In this paper, weak sharp solutions are investigated for a class of variational-type inequalities involving curvilinear integral functionals. Moreover, by using the minimum principle sufficiency property, some characterization results on the weak sharpness property of the solution set for the considered class of variational-type inequalities are formulated and proved. Finally, in order to illustrate the main results, an application is provided.

Keywords:

• Variational-type inequality
• dual gap functional
• weak sharp solutions
• curvilinear integral functional

2010 Mathematics Subject Classifications:

• 49J40
• 49J50
• 65K10
• 26B25
• 90C30
• 49K20

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been republished with minor changes. These changes do not impact the academic content of the article.