تجزیه و تحلیل حساسیت برای اجزاء تغییرات یکنواخت به شدت تعمیم یافته بر اساس (A، η) (A، η)، روش اپراتور حل شده

Sensitivity analysis for generalized strongly monotone variational inclusions based on the (A,η)(A,η)-resolvent operator technique is investigated. The results obtained encompass a broad range of results.

Recently in [1] the author investigated sensitivity analysis for quasivariational inclusions using the resolvent operator technique. Resolvent operator techniques have been applied to a broad range of problems arising from several fields of research, especially from model equilibria problems in economics, optimization and control theory, operations research, transportation network modeling, and mathematical programming. In this work we present the sensitivity analysis for (A,η)(A,η)-monotone quasivariational inclusions based on the generalized (A,η)(A,η)-resolvent operator technique. The notion of (A,η)(A,η)-monotone mappings upgrades the notion of AA-monotonicity [2], which generalizes the well-known class of maximal monotone mappings to maximal relaxed monotone mappings. The results obtained generalize a wide range of results on the sensitivity analysis for quasivariational inclusions [3], [4], [5] and [6] and others. For more details, we recommend [1], [2], [3], [4], [5], [6], [7] and [8].