Optimality and duality in vector optimization problems involving arcwise connected d-type-I functions over cones

摘要

In this paper arcwise cone connected d-type-I, quasi cone connected d-type-I, pseudo cone connected d-type-I and other related functions are defined for a vector optimization problem over cones. Sufficient optimality conditions are studied for this problem. Wolfe type, Mond Weir type and mixed type duals are formulated and duality results are established by using the above defined functions.