Let C be a closed and convex subset of a real Hilbert space H, T be a pseudo- contractive semigroup on C and A be a Lipschitz monotone mapping from C into H. In this paper, we propose and investigate an iterative scheme for finding a common element of the set of common fixed points of T and the set of solutions of the variational inequality V I(A,C). As a consequence, we prove that the scheme generated by the new method converges strongly under mild conditions on the parameters involved.
|Number of pages||19|
|Journal||Nonlinear Functional Analysis and Applications|
|Publication status||Published - 2017|
All Science Journal Classification (ASJC) codes
- Numerical Analysis
- Control and Optimization
- Applied Mathematics