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Nadi, Mohammad Taghi, Zafarani, Jafar. (1403). Second-ordered Characterization of Generalized Convex Functions and Their Applications in Optimization Problems. , 35(3), 267-277. doi: 10.22059/jsciences.2025.389419.1007912
Mohammad Taghi Nadi; Jafar Zafarani. "Second-ordered Characterization of Generalized Convex Functions and Their Applications in Optimization Problems". , 35, 3, 1403, 267-277. doi: 10.22059/jsciences.2025.389419.1007912
Nadi, Mohammad Taghi, Zafarani, Jafar. (1403). 'Second-ordered Characterization of Generalized Convex Functions and Their Applications in Optimization Problems', , 35(3), pp. 267-277. doi: 10.22059/jsciences.2025.389419.1007912
Nadi, Mohammad Taghi, Zafarani, Jafar. Second-ordered Characterization of Generalized Convex Functions and Their Applications in Optimization Problems. , 1403; 35(3): 267-277. doi: 10.22059/jsciences.2025.389419.1007912

Second-ordered Characterization of Generalized Convex Functions and Their Applications in Optimization Problems

Journal of Sciences, Islamic Republic of Iran
دوره 35، شماره 3، آبان 2024، صفحه 267-277    اصل مقاله (394.06 K)
نوع مقاله: Original Paper
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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