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Stability for parametric implicit vector equilibrium problems |
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| Authors: | Nan Jing Huang Jun Li HB Thompson |
| Institution: | aDepartment of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China;bDepartment of Mathematics, China West Normal University, Nanchong, Sichuan 637002, PR China;cDepartment of Mathematics, The University of Queensland, Brisbane, Qld 4072, Australia |
| Abstract: | In this paper, we consider a class of parametric implicit vector equilibrium problems in Hausdorff topological vector spaces where a mapping f and a set K are perturbed by parameters  and λ, respectively. We establish sufficient conditions for the upper semicontinuity and lower semicontinuity of the solution set mapping S:Λ1×Λ2→2X for such parametric implicit vector equilibrium problems. |
| Keywords: | Parametric implicit vector equilibrium problems Upper semicontinuity Lower semicontinuity color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0V-4JKJT2B-1&_mathId=mml6&_user=10&_cdi=5656&_rdoc=2&_acct=C000054348&_version=1&_userid=3837164&md5=5c7ff6a1881953dc906496b96182f41b" title="Click to view the MathML source" C-convex" target="_blank">alt="Click to view the MathML source">C-convex Solution set mapping |
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