Sentence examples for by using a scalarization from inspiring English sources
Then, by using a scalarization method, we extend our main theorems to cone metric spaces.
Cheng and Zhu [5] obtained a result on the lower semicontinuity of the solution set map to a PVEP in finite-dimensional spaces by using a scalarization method.
By using a scalarization approach of Konnov [20], Li and Mastroeni [13] established error bounds for two kinds of (WVVI) with set-valued mappings.
By using a scalarization method, we obtain the lower semicontinuity of an approximate solution mapping for such a problem without the assumptions of monotonicity and compactness.
By using a scalarization method, Li and Li [19] discussed the Berge lower semicontinuity and Berge continuity of an approximate solution mapping for a parametric vector equilibrium problem.
By using a scalarization method, they obtained the lower semicontinuity of an approximate solution mapping for such a problem without the assumptions of monotonicity and compactness.
Li et al. [19] studied some generalized minimax theorems for set-valued mappings by using a nonlinear scalarization function.
In this paper, we establish the bounded rationality model M for generalized vector equilibrium problems by using a nonlinear scalarization technique.
Very recently, Li and Xia [16] investigated Levitin-Polyak well-posedness for vectorial optimization problems by using a nonlinear scalarization function.
By using a nonlinear scalarization technique, we present the sufficient conditions for Hölder continuity of the solution mapping for a parametric generalized vector quasi-equilibrium problem.
Miglierina et al. [11] investigated several types of well-posedness concepts for vectorial optimization problems by using a nonlinear scalarization procedure.
