Abstract
Let X be a real Banach space and X∗ be its dual. Let F: X → X∗ and K: X∗ → X be Lipschitz monotone mappings. In this paper an explicit iterative scheme is constructed for approximating solutions of the Hammerstein type equation, 0 = u + KF u, when they exist. Strong convergence of the scheme is obtained under appropriate conditions. Our results improve and unify many of the results in the literature.
Original language | English |
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Pages (from-to) | 561-577 |
Number of pages | 17 |
Journal | Quaestiones Mathematicae |
Volume | 42 |
Issue number | 5 |
DOIs | |
Publication status | Published - May 28 2019 |
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)