Semicontinuity of solution mappings of parametric generalized strong vector equilibrium problems
Kenji Kimura, Jen‐Chih Yao · Journal of Industrial and Management Optimization · 2008
In this paper, we study the $\varepsilon$-generalized strongvector equilibrium problem ($\varepsilon$-GSVEP) and$\varepsilon$-extended vector equilibrium problem($\varepsilon$-ESVEP) which can be regarded as approximateproblems to the generalized strong vector equilibrium problems(GSVEP). Existence results for $\varepsilon$-GSVEP and$\varepsilon$-ESVEP are established. We also investigate variouscontinuities of the solution mappings of $\varepsilon$-GSVEP and$\varepsilon$-ESVEP, respectively.