Abstract
Let E be a uniformly convex Banach space and C a nonempty closed bounded convex subset of E. Let Γ: C −→ C and G: C −→ C be enriched strictly pseu-docontractive mapping and ΦΓ-enriched Lipschitzian mapping respectively. We introduce the above two mappings in uniformly convex Banach space and there-after prove that a new modified mixed-type lshikawa iteration scheme converges strongly to the common fixed points of Γ and G. In addition, we incorporate error terms to enhance the convergence of the method and also to improve the stability and robustness of the method. Our results extend and generalize the results obtained in [5] and so many other recent results currently existing in literature.
| Original language | English |
|---|---|
| Pages (from-to) | 1-27 |
| Number of pages | 27 |
| Journal | Applied General Topology |
| Volume | 26 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Apr 2025 |
| Externally published | Yes |
Keywords
- common fixed point
- enriched strictly pseudocontractive mapping
- modified Ishikawa mixed type iteration scheme
- strong convergence
- uniformly convex Banach space
- Φ-enriched Lipschitzian self mapping
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