Abstract
In this paper, we define a Halpern–Ishikawa type iterative method for approximating a fixed point of a Lipschitz pseudocontractive non-self mapping T in a real Hilbert space settings and prove strong convergence result of the iterative method to a fixed point of T under some mild conditions. We give a numerical example to support our results. Our results improve and generalize most of the results that have been proved for this important class of nonlinear mappings.
Original language | English |
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Article number | 15 |
Journal | Fixed Point Theory and Applications |
Volume | 2018 |
Issue number | 1 |
DOIs | |
Publication status | Published - Dec 1 2018 |
All Science Journal Classification (ASJC) codes
- Geometry and Topology
- Applied Mathematics