Abstract
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.
Original language | English |
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Pages (from-to) | 1029-1047 |
Number of pages | 19 |
Journal | Nonlinear Functional Analysis and Applications |
Volume | 22 |
Issue number | 5 |
Publication status | Published - 2017 |
All Science Journal Classification (ASJC) codes
- Analysis
- Numerical Analysis
- Control and Optimization
- Applied Mathematics