Abstract
Our purpose in this paper is to introduce the concept of complex valued convex metric spaces and introduce an analogue of the Picard-Ishikawa hybrid iterative scheme, re- cently proposed by Okeke [24] in this new setting. We approximate (common) fixed points of certain contractive conditions through these two new concepts and obtain several corollaries. We prove that the Picard-Ishikawa hybrid iterative scheme [24] converges faster than all of Mann, Ishikawa and Noor [23] iterative schemes in complex valued convex metric spaces. Also, we give some numerical examples to validate our results.
| Original language | English |
|---|---|
| Pages (from-to) | 117-135 |
| Number of pages | 19 |
| Journal | Nonlinear Functional Analysis and Applications |
| Volume | 26 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1 2021 |
Keywords
- Complex valued convex metric spaces
- fixed point
- iterative schemes
- rate of convergence