On a class of variational-type inequalities involving curvilinear integral functionals. (16th December 2022)

• Record Type: Journal Article
• Authors: Treanţă, Savin; Singh, Shipra; Jayswal, Anurag
• Is Part Of: Optimization. Volume 71:Number 16(2022)
• Page Start: 4835
• Page End: 4853
• Publication Date: 2022-12-16
• Subjects: Variational-type inequality -- dual gap functional -- weak sharp solutions -- curvilinear integral functional; 49J40 -- 49J50 -- 65K10 -- 26B25 -- 90C30 -- 49K20; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2021.1969394
• Languages: English
• ISSNs: 0233-1934

Abstract

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.