Arcwise $\rho$-connected functions and their generalizations in vector optimization over cones
نویسندگان
1 Department of Mathematics, Satyawati College, University of Delhi, Delhi 110007, India
2 Department of Mathematics, BPIT, GGSIPU, Delhi 110089, India
doi
10.22075/ijnaa.2023.26004.3484چکیده
In this paper, we introduce a new class of arcwise $\rho$-$K$-connected, arcwise $\rho$-$K$-quasi connected and arcwise $\rho$-$K$-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.
