Second-ordered Characterization of Generalized Convex Functions and Their Applications in Optimization Problems | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| دوره 35، شماره 3، پاییز 2024، صفحه 267-277 اصل مقاله (394.06 K) | ||
| نوع مقاله: Original Research Articles | ||
| شناسه دیجیتال (DOI): 10.22059/jsciences.2025.389419.1007912 | ||
| نویسندگان | ||
| Mohammad Taghi Nadi* 1؛ Jafar Zafarani2 | ||
| 1School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Islamic Republic of Iran | ||
| 22 Department of Mathematics, Sheikhbahaee University and University of Isfahan, Isfahan, Islamic Republic of Iran | ||
| چکیده | ||
| This survey investigates some developments in the second-order characterization of generalized convex functions using the coderivative of subdifferential mapping. More precisely, it presents the second-order characterization for quasiconvex, pseudoconvex and invex functions. Furthermore, it gives some applications of the second-order subdifferentials in optimization problems such as constrained and unconstrained nonlinear programming. | ||
| کلیدواژهها | ||
| Second-order subdifferential؛ Positive semidefinite property؛ Regular second-order subdifferential؛ Second-order optimality conditions | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 513 تعداد دریافت فایل اصل مقاله: 221 |
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