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Pandey, Rishabh, Pandey, Yogendra, singh, vinay. (1404). Optimality conditions for mathematical programming problem with equilibrium constraints in terms of tangential subdifferentiable. , (), -. doi: 10.22049/cco.2025.30232.2375
Rishabh Pandey; Yogendra Pandey; vinay singh. "Optimality conditions for mathematical programming problem with equilibrium constraints in terms of tangential subdifferentiable". , , , 1404, -. doi: 10.22049/cco.2025.30232.2375
Pandey, Rishabh, Pandey, Yogendra, singh, vinay. (1404). 'Optimality conditions for mathematical programming problem with equilibrium constraints in terms of tangential subdifferentiable', , (), pp. -. doi: 10.22049/cco.2025.30232.2375
Pandey, Rishabh, Pandey, Yogendra, singh, vinay. Optimality conditions for mathematical programming problem with equilibrium constraints in terms of tangential subdifferentiable. , 1404; (): -. doi: 10.22049/cco.2025.30232.2375

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
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
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