Continuity of solution mappings for parametric generalized set-valued weak vector equilibrium problems. (English) Zbl 1380.49015
The authors discuss a parametric generalized set-valued vector equilibrium problem without monocity and any information on the solution mappings . Under some weak assumptions on the set-valued mappings in the problem, semicontinuity and continuity of the solution mappings are established and their stability analysis is presented. The results are compared with the others discussed recently in literature (e.g. [Y. Han and N.-j. Huang, Positivity 20, No. 4, 829–846 (2016; Zbl 1353.49011); J. Ind. Manag. Optim. 12, No. 3, 1135–1151 (2016; Zbl 1328.90147)] and [Y. Zhao et al., Optimization 65, No. 7, 1397–1415 (2016; Zbl 1345.49034)]) and some examples are given.
Reviewer: Andrzej Świerniak (Gliwice)
MSC:
| 49J53 | Set-valued and variational analysis |
| 49J45 | Methods involving semicontinuity and convergence; relaxation |
| 90C48 | Programming in abstract spaces |
| 49J40 | Variational inequalities |
| 26E25 | Set-valued functions |
| 49K40 | Sensitivity, stability, well-posedness |
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