Arcwise $\rho$-connected functions and their generalizations in vector optimization over cones

	Arcwise $\rho$-connected functions and their generalizations in vector optimization over cones
International Journal of Nonlinear Analysis and Applications
مقاله 3، دوره 14، شماره 8، آبان 2023، صفحه 23-32 اصل مقاله (379.15 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.26004.3484
نویسندگان
Mamta Chaudhary¹؛ Muskan Kapoor^* ²
¹Department of Mathematics, Satyawati College, University of Delhi, Delhi 110007, India
²Department of Mathematics, BPIT, GGSIPU, Delhi 110089, India
چکیده
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.
کلیدواژه‌ها
Arcwise cone connected functions؛ vector optimization problem؛ optimality؛ duality
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