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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 | ||
| تاریخ دریافت: 10 اردیبهشت 1401، تاریخ پذیرش: 16 خرداد 1402 | ||
| 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 | ||
| مراجع | ||
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