On weak sharp solutions in $(\rho , \mathbf{b}, \mathbf{d})$-variational inequalities
Copyright policy )On weak sharp solutions in $(\rho , \mathbf{b}, \mathbf{d})$-variational inequalities
AbstractIn this paper, weak sharp solutions are investigated for a variational-type inequality governed by $(\rho , \mathbf{b}, \mathbf{d})$(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.
- University of Bucharest Romania
- Polytechnic University of Bucharest Romania
weak sharp solutions, Variational-type inequality, ( ρ , b , d ) $(\rho , \mathbf{b}, \mathbf{d})$ -convex path-independent curvilinear integral functional, QA1-939, \((\rho,\mathbf{b},\mathbf{d})\)-convex path-independent curvilinear integral functional, Variational inequalities, variational-type inequality, Fréchet and Gateaux differentiability in optimization, Weak sharp solutions, Mathematics, Convexity of real functions of several variables, generalizations
weak sharp solutions, Variational-type inequality, ( ρ , b , d ) $(\rho , \mathbf{b}, \mathbf{d})$ -convex path-independent curvilinear integral functional, QA1-939, \((\rho,\mathbf{b},\mathbf{d})\)-convex path-independent curvilinear integral functional, Variational inequalities, variational-type inequality, Fréchet and Gateaux differentiability in optimization, Weak sharp solutions, Mathematics, Convexity of real functions of several variables, generalizations
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