Arcwise ρ-cconnected functions and their generalizations in vector optimization over cones

In this paper, we introduce a new class of arcwise ρ-K-connected, arcwise ρ-K-quasi connected and arcwise ρ-K-pseudo connected functions which encapsulate already known functions. Necessary and sufficient optimality conditions are established for a vector optimization problem over cones by involving these functions. Wolfe type and Mond-Weir type duals are formulated and corresponding duality results are also proved using these functions.