TY - JOUR ID - 885 TI - Optimality conditions for approximate solutions of vector optimization problems with variable ordering structures JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - ‎Soleimani, B. AU - Tammer, C. AD - Institute of Mathematics‎, ‎Martin-Luther-University Halle-Wittenberg‎, ‎Theodor-Lieser Str‎. ‎5‎, ‎06120 Halle‎, ‎Germany. Y1 - 2016 PY - 2016 VL - 42 IS - Issue 7 (Special Issue) SP - 5 EP - 23 KW - Nonconvex vector optimization‎ KW - ‎variable ordering structure‎ KW - ‎Ekeland's variational principle‎ KW - ‎optimality conditions‎ DO - N2 - ‎We consider nonconvex vector optimization problems with variable ordering structures in Banach spaces‎. ‎Under certain boundedness and continuity properties we present necessary conditions for approximate solutions of these problems‎. ‎Using a generic approach to subdifferentials we derive necessary conditions for approximate minimizers and approximately minimal solutions of vector optimization problems with variable ordering structures applying nonlinear separating functionals and Ekeland's variational principle‎.  UR - http://bims.iranjournals.ir/article_885.html L1 - http://bims.iranjournals.ir/article_885_c784a05612ed4dd1924879eb1e344219.pdf ER -