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Optimality conditions for mathematical programming problem with equilibrium constraints in terms of tangential subdifferentiable | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 تیر 1404 اصل مقاله (596.7 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2025.30232.2375 | ||
| نویسندگان | ||
| Rishabh Pandey1؛ Yogendra Pandey2؛ vinay singh* 1 | ||
| 1Department of Mathematics, National Institute of Technology Mizoram, Aizawl, 796012, Mizoram, India | ||
| 2Department of Mathematics, Satish Chandra College, Ballia, 277001, Uttar Pradesh, India | ||
| چکیده | ||
| The aim of this article is to develop necessary and sufficient optimality conditions for nonsmooth mathematical programs with equilibrium constraints $(\mathcal{MPEC})$. We introduce a nonsmooth variant of the standard $\partial^{T}$-Abadie constraint qualification ($\partial^{T}$-$ACQ(\mathfrak{B}_1, \mathfrak{B}_2)$) and propose $\partial^{T}$-generalized alternatively stationary conditions using the tangential subdifferential framework. Building on these new conditions, we derive first-order optimality criteria under $\partial^{T}$-$ACQ(\mathfrak{B}_1, \mathfrak{B}_2)$. Additionally, we establish sufficient optimality conditions within a framework of generalized convexity assumptions. The effectiveness and applicability of these conditions are demonstrated through several examples. | ||
| کلیدواژهها | ||
| MPEC؛ disjoint bipartitions؛ GA-stationary point | ||
| مراجع | ||
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