A SYSTEM OF NONLINEAR VARIATIONAL INCLUSIONS WITH (A, $\eta$)-MONOTONE MAPPINGS IN HILBERT SPACES

  • Shang, Meijuan (DEPARTMENT OF MATHEMATICS, TIANJIN POLYTECHNIC UNIVERSITY, DEPARTMENT OF MATHEMATICS, SHIJIAZHUANG UNIVERSITY) ;
  • Qin, Xiaolong (DEPARTMENT OF MATHEMATICS, GYEONGSANG NATIONAL UNIVERSITY)
  • Published : 2008.01.31

Abstract

In this paper, we introduce a system of nonlinear variational inclusions involving (A, $\eta$)-monotone mappings in the framework of Hilbert spaces. Based on the generalized resolvent operator technique associated with (A, $\eta$)-monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. Our results improve and extend the recent ones announced by many others.