Closedness and Hadamard well-posedness of the solution map for parametric vector equilibrium problems

Abstract

Parametric vector equilibrium problems, Vector topological pseudomonotonicity, Mosco convergence, Hadamard well-posedness, 49N60, 90C31,

Sensitivity analysis of the solution map of parametric operator equilibrium problems

“…In the final section we investigate the generalized Hadamard well-posedness of parametric operator equilibrium problems. We use similar technique as in [16].…”

“…ii) If there is an index i 0 such that, for every i ≥ i 0 , there exists j ≥ i with Sup A j ̸ = ∅, then y ∈ Limsup y i . Now, we can introduce the new definitions of vector topological pseudomonotonicity which generalize the vector topological pseudomonotonicity notions given by Definition 2.1 in [17] and Definition 3 in [18] respectively.…”

Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems

“…Peng et al [14] studied Levitin-Polyak well-posedness of generalized vector equilibrium problems with both abstract set constraints and functional constraints. Salamon [15] considered the Hadamard well-posedness by using the vector topological pseudomonotonicity. Peng et al [16] investigated the Hadamard well-posedness of vector equilibrium problems by considering the perturbations of both vector-valued functions and feasible sets.…”

Parametric vector optimization

“…[1][2][3][4][5][6] This paper addresses the problem of convergence of weak efficient solutions for sequences of vectorvalued functions.…”