TY - JOUR T1 - A New System of Generalized Variational Inclusions Involving $H$-$η$-Monotone Operators in Uniformly Smooth Banach Spaces AU - Feng , Shiqiang AU - Gao , Dapeng JO - Communications in Mathematical Research VL - 4 SP - 324 EP - 336 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19037.html KW - uniformly smooth Banach space, $H$-$η$-monotone operator, resolvent operator technique, system of generalized variational inclusion, iterative algorithm. AB -

In this paper, we introduce and study a new system of generalized variational inclusions involving $H$-$η$-monotone operators in uniformly smooth Banach spaces. Using the resolvent operator technique associated with $H$-$η$-monotone operators, we prove the approximation solvability of solutions using an iterative algorithm. The results in this paper extend and improve some known results from the literature.