2025/09/03 by Shashi Kant Mishra, Mishra, Shashi Kant, Singh, Dheerendra
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis
paper · pdf · doi:10.48550/arxiv.2509.03205
openalex publication_date 2025/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we deal with constraint qualifications, the stationary concept and the optimality conditions for nonsmooth mathematical programs with equilibrium constraints. The main tool of our study is the notion of tangential subdifferentials. Using the notion of tangential subdifferentials, we present constraint qualifications (namely, generalized standard Abadie, MPEC Abadie, MPEC Zangwill, constraint qualifications) and stationary concepts, and also establish relationships between constraint qualifications. Further, we establish sufficient optimality conditions for mathematical programs using tangential subdifferentials and suitable generalized convexity notion. We also give some examples that verify our results.