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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.
Miglierina et al. [11] investigated several types of well-posedness concepts for vectorial optimization problems by using a nonlinear scalarization procedure.
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.
Question Can one establish the Hölder continuity of a solution mapping to the parametric generalized vector quasi-equilibrium problem with set-valued mappings by using a nonlinear scalarization method?
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In (iv), a nonlinear scalarization function (xi_{e}) is applied to reduce (SVQEP) to a scalar optimization problem since (SVQEP) does not possess linearity and convexity.
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