Fritz-John type optimality conditions for weak efficient solutions of vector equilibrium problems with constraints in terms of contingent epiderivatives

Tran Van Su
2015 Applied Mathematical Sciences  
In this paper, Fritz-John type optimality conditions for weak efficient solutions in terms of contingent epiderivatives of vector variational inequalities and vector optimization problems with constraints are derived. Under assumptions on quasiconvexity of scalar functions, Fritz-John type necessary optimality conditions become Fritz-John type sufficient optimality conditions. Mathematics Subject Classification: 90C46, 90C29 Keywords: Fritz-John type necessary and sufficient optimality
more » ... s for weak efficient solution, contingent epiderivative, steady function, vector variational inequality problem, vector optimization problem.
doi:10.12988/ams.2015.59590 fatcat:4gzmrt4khrhxrdyg64b7u622fq